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Finding the Fourth Proportional to 4,362.54, 6,540.96 and 1,588.69

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Solution

The fourth proportional to 4,362.54, 6,540.96 and 1,588.69 is: 2,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.54 : 6,540.96 = 1,588.69 : x
  2. Step 2: Convert to fraction form
    4,362.54/6,540.96 = 1,588.69/x
  3. Step 3: Cross multiply
    4,362.54x = 6,540.96 × 1,588.69
  4. Step 4: Simplify right side
    4,362.54x = 10,391,571.88
  5. Step 5: Solve for x
    x = 10,391,571.88/4,362.54
  6. Step 6: Final answer
    x = 2,382.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.