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Finding the Fourth Proportional to 4,121.28, 5,687.28 and 2,527.38

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Solution

The fourth proportional to 4,121.28, 5,687.28 and 2,527.38 is: 3,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.28 : 5,687.28 = 2,527.38 : x
  2. Step 2: Convert to fraction form
    4,121.28/5,687.28 = 2,527.38/x
  3. Step 3: Cross multiply
    4,121.28x = 5,687.28 × 2,527.38
  4. Step 4: Simplify right side
    4,121.28x = 14,373,917.73
  5. Step 5: Solve for x
    x = 14,373,917.73/4,121.28
  6. Step 6: Final answer
    x = 3,487.73

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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.