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Finding the Fourth Proportional to 3,542.87, 5,308.41 and 2,501.16

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Solution

The fourth proportional to 3,542.87, 5,308.41 and 2,501.16 is: 3,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.87 : 5,308.41 = 2,501.16 : x
  2. Step 2: Convert to fraction form
    3,542.87/5,308.41 = 2,501.16/x
  3. Step 3: Cross multiply
    3,542.87x = 5,308.41 × 2,501.16
  4. Step 4: Simplify right side
    3,542.87x = 13,277,182.76
  5. Step 5: Solve for x
    x = 13,277,182.76/3,542.87
  6. Step 6: Final answer
    x = 3,747.58

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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.