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Finding the Fourth Proportional to 3,747.64, 5,171.16 and 2,175.46

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Solution

The fourth proportional to 3,747.64, 5,171.16 and 2,175.46 is: 3,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.64 : 5,171.16 = 2,175.46 : x
  2. Step 2: Convert to fraction form
    3,747.64/5,171.16 = 2,175.46/x
  3. Step 3: Cross multiply
    3,747.64x = 5,171.16 × 2,175.46
  4. Step 4: Simplify right side
    3,747.64x = 11,249,651.73
  5. Step 5: Solve for x
    x = 11,249,651.73/3,747.64
  6. Step 6: Final answer
    x = 3,001.80

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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.