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Finding the Fourth Proportional to 6,082.38, 8,391.75 and 3,960.27

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Solution

The fourth proportional to 6,082.38, 8,391.75 and 3,960.27 is: 5,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.38 : 8,391.75 = 3,960.27 : x
  2. Step 2: Convert to fraction form
    6,082.38/8,391.75 = 3,960.27/x
  3. Step 3: Cross multiply
    6,082.38x = 8,391.75 × 3,960.27
  4. Step 4: Simplify right side
    6,082.38x = 33,233,595.77
  5. Step 5: Solve for x
    x = 33,233,595.77/6,082.38
  6. Step 6: Final answer
    x = 5,463.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.