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Finding the Fourth Proportional to 3,672.34, 5,068.17 and 2,729.30

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Solution

The fourth proportional to 3,672.34, 5,068.17 and 2,729.30 is: 3,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.34 : 5,068.17 = 2,729.30 : x
  2. Step 2: Convert to fraction form
    3,672.34/5,068.17 = 2,729.30/x
  3. Step 3: Cross multiply
    3,672.34x = 5,068.17 × 2,729.30
  4. Step 4: Simplify right side
    3,672.34x = 13,832,531.04
  5. Step 5: Solve for x
    x = 13,832,531.04/3,672.34
  6. Step 6: Final answer
    x = 3,766.68

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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.