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Finding the Fourth Proportional to 5,253.90, 7,251.87 and 3,682.38

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Solution

The fourth proportional to 5,253.90, 7,251.87 and 3,682.38 is: 5,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.90 : 7,251.87 = 3,682.38 : x
  2. Step 2: Convert to fraction form
    5,253.90/7,251.87 = 3,682.38/x
  3. Step 3: Cross multiply
    5,253.90x = 7,251.87 × 3,682.38
  4. Step 4: Simplify right side
    5,253.90x = 26,704,141.05
  5. Step 5: Solve for x
    x = 26,704,141.05/5,253.90
  6. Step 6: Final answer
    x = 5,082.73

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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.