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Finding the Fourth Proportional to 6,439.62, 8,887.43 and 3,923.20

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Solution

The fourth proportional to 6,439.62, 8,887.43 and 3,923.20 is: 5,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.62 : 8,887.43 = 3,923.20 : x
  2. Step 2: Convert to fraction form
    6,439.62/8,887.43 = 3,923.20/x
  3. Step 3: Cross multiply
    6,439.62x = 8,887.43 × 3,923.20
  4. Step 4: Simplify right side
    6,439.62x = 34,867,165.38
  5. Step 5: Solve for x
    x = 34,867,165.38/6,439.62
  6. Step 6: Final answer
    x = 5,414.48

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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.