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Finding the Fourth Proportional to 5,963.78, 8,229.89 and 3,311.15

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Solution

The fourth proportional to 5,963.78, 8,229.89 and 3,311.15 is: 4,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.78 : 8,229.89 = 3,311.15 : x
  2. Step 2: Convert to fraction form
    5,963.78/8,229.89 = 3,311.15/x
  3. Step 3: Cross multiply
    5,963.78x = 8,229.89 × 3,311.15
  4. Step 4: Simplify right side
    5,963.78x = 27,250,367.40
  5. Step 5: Solve for x
    x = 27,250,367.40/5,963.78
  6. Step 6: Final answer
    x = 4,569.31

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1.5x scale

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.