I suppose those Dodge and Cummins engineers just don't understand gear ratios as some of our TDR members do. If they were better informed they would know that the best choice would be for the top transmission ratio to be direct and the differential ratio to be 3. 25 or and even lower numerical number and a truck with 3. 42 gears or even taller could tow a lot more than the 4. 10 geared trucks. I wonder why they set the tow limits like that? Suppose they are ignorant? Just wondering.
Easy Harvey :-{}

4. 10 gears are better for towing. We know that. But you can tow with 3. 42 gears without too much problem. Apples to apples, if I tow 10,000 lbs, either truck is going to do it. The 4. 10 is going to stay in higher gear longer at a certain speed, at a certain RPM. The 3. 42 (and this is news to me, I thought the only ratios for the 3500's were 3. 73 and 4. 10... I have the 3. 73) is going to have to downshift earlier. It's all about the sweet spot in the power band. One great thing about our trucks is the relatively flat power band. Max torque is around 1700-1900 or so, but you still have a high percentage of max torque at 1200 RPM, and even a little higher than 1900 before it drops off. But then, if the motor is turning fast, you are then in the max horsepower range, and the truck will keep going. I completely understand the different ratios, and I got the 3. 73 because it's the trade-off for me. If I tow heavy, I have no room to complain that the truck wants to shift down, because it needs to stay in the sweet spot. I haven't towed anything real heavy with my new truck yet, and it being a 6 speed, it's going to do different than the old 4 speeds. My last two trucks were 6 speed manuals with 3. 55 (the 2001) and 3. 73 (the 2004) gears. If I had a 4. 10 rear end, I think it would have been happier in 6th gear more often. I understood this, as it was the tradeoff for me for a daily driver vs towing (it was a daily driver more than a tow vehicle). And when towing, I always wished I had a gear between 5th (direct) and 6th (overdrive). I was tempted in putting in a gearvenders unit. The final drive of my transmission and a 4. 10 rear end would have put me some where in between my two high gears. Now, the point I want to make is this, regardless of the rear end, regardless, regardless, regardless, it all comes down to RPMs vs road speed. That's it. The ratings, as I understand how they come up with them and why, are for transmission longevity for the most part. Your transmission is going to be shifting more often if you have higher gears (lots of downshifting/upshifting= shorter transmission life and/or closer service intervals). My 3. 73 truck can tow 20k just like a 4. 10 can, but I would have to use a lower gear, and drive at a slightly slower speed. The initial point here was, Powder Extreme was complaining that his truck wouldn't shift down and maintain speed like it should. The computer doesn't necessarily know what rear end ratio it has (well, it prolly
is programmed in there) but it's mainly concerned with rpm vs load vs speed.
So PowdEx, you do have a problem there. Sorry you can't get the dealer to listen to you. You read my thread about my shifter problem... my dealer wouldn't listen to me, either. And I think you'll agree that a 4. 10 is a better towing gear than the 3. 42 or 3. 73 (You might be confusing that 3. 42 gear with a Chivy gear, I think that's what they use, at least on their 1500's), and I think you'll accept the fact that your truck is not going to stay in 6th gear as long as one would with a 4. 10 rear. And that brings us back to your original problem yet again... your truck won't hold speed AND won't downshift to do so. Either a power problem or an electrical glitch in the transmission programming. See if they'll "flash" it or something.
Good luck!
SOLER