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Finding the Fourth Proportional to 5,963.96, 8,229.90 and 3,311.28

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Solution

The fourth proportional to 5,963.96, 8,229.90 and 3,311.28 is: 4,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.96 : 8,229.90 = 3,311.28 : x
  2. Step 2: Convert to fraction form
    5,963.96/8,229.90 = 3,311.28/x
  3. Step 3: Cross multiply
    5,963.96x = 8,229.90 × 3,311.28
  4. Step 4: Simplify right side
    5,963.96x = 27,251,503.27
  5. Step 5: Solve for x
    x = 27,251,503.27/5,963.96
  6. Step 6: Final answer
    x = 4,569.36

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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.