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Finding the Fourth Proportional to 3,537.34, 4,882.07 and 2,545.90

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Solution

The fourth proportional to 3,537.34, 4,882.07 and 2,545.90 is: 3,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.34 : 4,882.07 = 2,545.90 : x
  2. Step 2: Convert to fraction form
    3,537.34/4,882.07 = 2,545.90/x
  3. Step 3: Cross multiply
    3,537.34x = 4,882.07 × 2,545.90
  4. Step 4: Simplify right side
    3,537.34x = 12,429,256.17
  5. Step 5: Solve for x
    x = 12,429,256.17/3,537.34
  6. Step 6: Final answer
    x = 3,513.73

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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.