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Finding the Fourth Proportional to 3,732.96, 5,139.20 and 3,548.24

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Solution

The fourth proportional to 3,732.96, 5,139.20 and 3,548.24 is: 4,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.96 : 5,139.20 = 3,548.24 : x
  2. Step 2: Convert to fraction form
    3,732.96/5,139.20 = 3,548.24/x
  3. Step 3: Cross multiply
    3,732.96x = 5,139.20 × 3,548.24
  4. Step 4: Simplify right side
    3,732.96x = 18,235,115.01
  5. Step 5: Solve for x
    x = 18,235,115.01/3,732.96
  6. Step 6: Final answer
    x = 4,884.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.