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Finding the Fourth Proportional to 3,896.38, 5,377.14 and 2,218.04

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Solution

The fourth proportional to 3,896.38, 5,377.14 and 2,218.04 is: 3,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.38 : 5,377.14 = 2,218.04 : x
  2. Step 2: Convert to fraction form
    3,896.38/5,377.14 = 2,218.04/x
  3. Step 3: Cross multiply
    3,896.38x = 5,377.14 × 2,218.04
  4. Step 4: Simplify right side
    3,896.38x = 11,926,711.61
  5. Step 5: Solve for x
    x = 11,926,711.61/3,896.38
  6. Step 6: Final answer
    x = 3,060.97

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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.