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Finding the Fourth Proportional to 3,729.75, 5,148.14 and 2,487.75

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Solution

The fourth proportional to 3,729.75, 5,148.14 and 2,487.75 is: 3,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.75 : 5,148.14 = 2,487.75 : x
  2. Step 2: Convert to fraction form
    3,729.75/5,148.14 = 2,487.75/x
  3. Step 3: Cross multiply
    3,729.75x = 5,148.14 × 2,487.75
  4. Step 4: Simplify right side
    3,729.75x = 12,807,272.85
  5. Step 5: Solve for x
    x = 12,807,272.85/3,729.75
  6. Step 6: Final answer
    x = 3,433.82

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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.