
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Master Li opened a store last year, which started making a profit in January this year. The profit in February was $2400, and in April it reached $3456. Moreover, the average monthly growth rate of profit from February to April is the same. <br/>$(1)$ Find the average monthly growth rate of profit. <br/>$(2)$ According to this average growth rate, how much profit is expected in May for this store?

Present the answer in LaTex format: \boxed{Your answer}
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