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Finding the Fourth Proportional to 3,729.74, 5,147.57 and 2,136.88

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Solution

The fourth proportional to 3,729.74, 5,147.57 and 2,136.88 is: 2,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.74 : 5,147.57 = 2,136.88 : x
  2. Step 2: Convert to fraction form
    3,729.74/5,147.57 = 2,136.88/x
  3. Step 3: Cross multiply
    3,729.74x = 5,147.57 × 2,136.88
  4. Step 4: Simplify right side
    3,729.74x = 10,999,702.96
  5. Step 5: Solve for x
    x = 10,999,702.96/3,729.74
  6. Step 6: Final answer
    x = 2,949.19

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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.