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Finding the Fourth Proportional to 5,963.72, 8,229.95 and 3,311.13

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Solution

The fourth proportional to 5,963.72, 8,229.95 and 3,311.13 is: 4,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.72 : 8,229.95 = 3,311.13 : x
  2. Step 2: Convert to fraction form
    5,963.72/8,229.95 = 3,311.13/x
  3. Step 3: Cross multiply
    5,963.72x = 8,229.95 × 3,311.13
  4. Step 4: Simplify right side
    5,963.72x = 27,250,417.79
  5. Step 5: Solve for x
    x = 27,250,417.79/5,963.72
  6. Step 6: Final answer
    x = 4,569.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.