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Finding the Fourth Proportional to 3,729.75, 5,147.10 and 2,238.96

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Solution

The fourth proportional to 3,729.75, 5,147.10 and 2,238.96 is: 3,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.75 : 5,147.10 = 2,238.96 : x
  2. Step 2: Convert to fraction form
    3,729.75/5,147.10 = 2,238.96/x
  3. Step 3: Cross multiply
    3,729.75x = 5,147.10 × 2,238.96
  4. Step 4: Simplify right side
    3,729.75x = 11,524,151.02
  5. Step 5: Solve for x
    x = 11,524,151.02/3,729.75
  6. Step 6: Final answer
    x = 3,089.79

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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.