Do you thinking adding another powerpro would solve it?There are a couple of significant differences between the two loads.
Surge: An electric watter heater has essentially no surge on start up. A 5-ton AC has a huge surge on start-up
reactive power: The 5 tone AC is an inductive load that can have a large reactive power. Even though the unit is only doing 4500 watts of real work, the inverter has to satisfy the reactive power as well.
As others have mentioned, a single battery is really not enough for your application.