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Finding the Fourth Proportional to 3,542.52, 5,302.92 and 2,307.24

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Solution

The fourth proportional to 3,542.52, 5,302.92 and 2,307.24 is: 3,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.52 : 5,302.92 = 2,307.24 : x
  2. Step 2: Convert to fraction form
    3,542.52/5,302.92 = 2,307.24/x
  3. Step 3: Cross multiply
    3,542.52x = 5,302.92 × 2,307.24
  4. Step 4: Simplify right side
    3,542.52x = 12,235,109.14
  5. Step 5: Solve for x
    x = 12,235,109.14/3,542.52
  6. Step 6: Final answer
    x = 3,453.79

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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.