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Finding the Fourth Proportional to 4,031.60, 5,564.97 and 2,542

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Solution

The fourth proportional to 4,031.60, 5,564.97 and 2,542 is: 3,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.60 : 5,564.97 = 2,542 : x
  2. Step 2: Convert to fraction form
    4,031.60/5,564.97 = 2,542/x
  3. Step 3: Cross multiply
    4,031.60x = 5,564.97 × 2,542
  4. Step 4: Simplify right side
    4,031.60x = 14,146,153.74
  5. Step 5: Solve for x
    x = 14,146,153.74/4,031.60
  6. Step 6: Final answer
    x = 3,508.82

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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.