
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
Solve the equation(s) application problem. During the Dragon Boat Festival, a certain fruit supermarket investigated the sales situation of a certain fruit. The following is a conversation between the investigators:

Xiao Wang: The cost price of this fruit is $22$ yuan per kilogram;
Xiao Li: When the selling price is $38$ yuan per kilogram, $160$ kilograms can be sold per day; if the price per kilogram is reduced by $3$ yuan, the daily sales volume will increase by $120$ kilograms.

Based on their conversation, solve the following problem: The supermarket needs to make a daily sales profit of $3640$ yuan and also wants to make customers feel cost-effective. What is the selling price of this fruit per kilogram?

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