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Finding the Fourth Proportional to 3,791.72, 5,232.17 and 2,198.87

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Solution

The fourth proportional to 3,791.72, 5,232.17 and 2,198.87 is: 3,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.72 : 5,232.17 = 2,198.87 : x
  2. Step 2: Convert to fraction form
    3,791.72/5,232.17 = 2,198.87/x
  3. Step 3: Cross multiply
    3,791.72x = 5,232.17 × 2,198.87
  4. Step 4: Simplify right side
    3,791.72x = 11,504,824.49
  5. Step 5: Solve for x
    x = 11,504,824.49/3,791.72
  6. Step 6: Final answer
    x = 3,034.20

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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.