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Finding the Fourth Proportional to 3,738.92, 5,159.94 and 2,082.92

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Solution

The fourth proportional to 3,738.92, 5,159.94 and 2,082.92 is: 2,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.92 : 5,159.94 = 2,082.92 : x
  2. Step 2: Convert to fraction form
    3,738.92/5,159.94 = 2,082.92/x
  3. Step 3: Cross multiply
    3,738.92x = 5,159.94 × 2,082.92
  4. Step 4: Simplify right side
    3,738.92x = 10,747,742.22
  5. Step 5: Solve for x
    x = 10,747,742.22/3,738.92
  6. Step 6: Final answer
    x = 2,874.56

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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.