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Finding the Fourth Proportional to 3,640.62, 5,023.44 and 2,147.97

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Solution

The fourth proportional to 3,640.62, 5,023.44 and 2,147.97 is: 2,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.62 : 5,023.44 = 2,147.97 : x
  2. Step 2: Convert to fraction form
    3,640.62/5,023.44 = 2,147.97/x
  3. Step 3: Cross multiply
    3,640.62x = 5,023.44 × 2,147.97
  4. Step 4: Simplify right side
    3,640.62x = 10,790,198.42
  5. Step 5: Solve for x
    x = 10,790,198.42/3,640.62
  6. Step 6: Final answer
    x = 2,963.84

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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.