3.42 vs. 4.10 RR on a 2013 Dodge Cummings

I agree that a 3:42 would be more than enough for what the OP want's to tow....When I purchased my first Ram, a 2010, the only way I could get enough GCWR to tow my 5er without going over GCWR was with the 4:10, (yeah, I'm one of the fools that tries to stay "under" the GVWR and GCWR, right, wrong or indifferent, it's what I do)...Same when I purchased the 2012....the 4:10 offered where I needed GCWR...SO, when I ordered the 2013, I didn't do ALL my home work I guess and figured, I'd need to go with the 4:10...."IF" I had KNOWN at the time that I could have gotten a 3:73, I'd ordered a 3:73 ratio....but, being stupid on just about everything, I got the 4:10 because I do 95% of my towing on some fairly steep, curvy mountainous secondary roads, and a few places on the interstate at 7%...thus, the overkill...."IF I KNEW THEN, WHAT I KNOW NOW"...or 'SHOULDA, COULDA, WOULDA"....SO, I have the 4:10 and love it ANYWAY, mpg is better than the 10 and the 12 and HP and TQ is up, and GVWR and GCWR are WAYYYYYY UP:)...so, in the long run, no regrets and if I go heavier, I got the truck to do it with.

again, no more than the OP is going to tow...I'd go with the 3:42's also. The 68RFE transmission will handle that no issues...if you find one with the Aisin, then you got "banana pudding":B