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Finding the Fourth Proportional to 3,712.97, 5,121.96 and 2,296.21

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Solution

The fourth proportional to 3,712.97, 5,121.96 and 2,296.21 is: 3,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.97 : 5,121.96 = 2,296.21 : x
  2. Step 2: Convert to fraction form
    3,712.97/5,121.96 = 2,296.21/x
  3. Step 3: Cross multiply
    3,712.97x = 5,121.96 × 2,296.21
  4. Step 4: Simplify right side
    3,712.97x = 11,761,082.97
  5. Step 5: Solve for x
    x = 11,761,082.97/3,712.97
  6. Step 6: Final answer
    x = 3,167.57

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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.