Interesting, ours on the E-350 chassis was 4700, and 6700 with full water, fuel, propane, and people.
Wow, looking at the stripped chassis specs, I'm 100 lbs
over the GAWR on the front and 1100 lbs under in the rear. That is depending on the base wheelbase they used before stretching to 188"--if they used the 158" or 176" frames then I'm 300 lbs under and 1800 under in the rear.
At least for the 2016 version:
E-Series cutaway specs (pdf)