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Finding the Fourth Proportional to 3,729.62, 5,147.44 and 2,737.64

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Solution

The fourth proportional to 3,729.62, 5,147.44 and 2,737.64 is: 3,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.62 : 5,147.44 = 2,737.64 : x
  2. Step 2: Convert to fraction form
    3,729.62/5,147.44 = 2,737.64/x
  3. Step 3: Cross multiply
    3,729.62x = 5,147.44 × 2,737.64
  4. Step 4: Simplify right side
    3,729.62x = 14,091,837.64
  5. Step 5: Solve for x
    x = 14,091,837.64/3,729.62
  6. Step 6: Final answer
    x = 3,778.36

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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.