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Finding the Fourth Proportional to 3,542.60, 5,304.51 and 2,306.27

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Solution

The fourth proportional to 3,542.60, 5,304.51 and 2,306.27 is: 3,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.60 : 5,304.51 = 2,306.27 : x
  2. Step 2: Convert to fraction form
    3,542.60/5,304.51 = 2,306.27/x
  3. Step 3: Cross multiply
    3,542.60x = 5,304.51 × 2,306.27
  4. Step 4: Simplify right side
    3,542.60x = 12,233,605.76
  5. Step 5: Solve for x
    x = 12,233,605.76/3,542.60
  6. Step 6: Final answer
    x = 3,453.29

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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.