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Finding the Fourth Proportional to 3,729.87, 5,147.62 and 2,314.53

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Solution

The fourth proportional to 3,729.87, 5,147.62 and 2,314.53 is: 3,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.87 : 5,147.62 = 2,314.53 : x
  2. Step 2: Convert to fraction form
    3,729.87/5,147.62 = 2,314.53/x
  3. Step 3: Cross multiply
    3,729.87x = 5,147.62 × 2,314.53
  4. Step 4: Simplify right side
    3,729.87x = 11,914,315.13
  5. Step 5: Solve for x
    x = 11,914,315.13/3,729.87
  6. Step 6: Final answer
    x = 3,194.30

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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.