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Finding the Fourth Proportional to 5,963.64, 8,229.92 and 3,311.16

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Solution

The fourth proportional to 5,963.64, 8,229.92 and 3,311.16 is: 4,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.64 : 8,229.92 = 3,311.16 : x
  2. Step 2: Convert to fraction form
    5,963.64/8,229.92 = 3,311.16/x
  3. Step 3: Cross multiply
    5,963.64x = 8,229.92 × 3,311.16
  4. Step 4: Simplify right side
    5,963.64x = 27,250,565.35
  5. Step 5: Solve for x
    x = 27,250,565.35/5,963.64
  6. Step 6: Final answer
    x = 4,569.45

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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.