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Finding the Fourth Proportional to 5,439.86, 7,497.87 and 4,163.30

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Solution

The fourth proportional to 5,439.86, 7,497.87 and 4,163.30 is: 5,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.86 : 7,497.87 = 4,163.30 : x
  2. Step 2: Convert to fraction form
    5,439.86/7,497.87 = 4,163.30/x
  3. Step 3: Cross multiply
    5,439.86x = 7,497.87 × 4,163.30
  4. Step 4: Simplify right side
    5,439.86x = 31,215,882.17
  5. Step 5: Solve for x
    x = 31,215,882.17/5,439.86
  6. Step 6: Final answer
    x = 5,738.36

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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.