OP said:
The utility has provided a secondary symmetrical fault current
The utility has given the fault current, not for the grid but for the 480 Volt secondary.
For utilization planning, it is often not safe to include grid impedance in fault current calculations.
You have no control over grid impedance and it may change.
The figure supplied by the utility is 14% high.
That is only serious if the designer planned to use equipment rated for an ASCC of 50kA.
Grid impedance was mentioned.
You may justify using the impedance of the secondary conductors from the transformer to the switch gear to reduce the ASCC at the equipment.
I have seen this done.
We had a central switch room with a lineup of 13 kV breaker cabinets.
Stretching for several hundreds of feet unit subs and power distribution centers.
Each unit sub was fed 13 kV by cable from the central switchgear.
The ASCC at the main switch gear was above the ASCC rating of the unit subs.
The specs called for a
MINIMUM of 100 feet of cable to each unit sub
to reduce the ASCC to below the rating of the unit subs.
The cables were run past the near subs and then doubled back.
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Ohm's law
Not just a good idea;
It's the LAW!