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Finding the Fourth Proportional to 5,963.86, 8,229.42 and 3,310.59

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Solution

The fourth proportional to 5,963.86, 8,229.42 and 3,310.59 is: 4,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.86 : 8,229.42 = 3,310.59 : x
  2. Step 2: Convert to fraction form
    5,963.86/8,229.42 = 3,310.59/x
  3. Step 3: Cross multiply
    5,963.86x = 8,229.42 × 3,310.59
  4. Step 4: Simplify right side
    5,963.86x = 27,244,235.56
  5. Step 5: Solve for x
    x = 27,244,235.56/5,963.86
  6. Step 6: Final answer
    x = 4,568.22

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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.