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Finding the Fourth Proportional to 5,882.32, 8,115.28 and 3,787.66

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Solution

The fourth proportional to 5,882.32, 8,115.28 and 3,787.66 is: 5,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.32 : 8,115.28 = 3,787.66 : x
  2. Step 2: Convert to fraction form
    5,882.32/8,115.28 = 3,787.66/x
  3. Step 3: Cross multiply
    5,882.32x = 8,115.28 × 3,787.66
  4. Step 4: Simplify right side
    5,882.32x = 30,737,921.44
  5. Step 5: Solve for x
    x = 30,737,921.44/5,882.32
  6. Step 6: Final answer
    x = 5,225.48

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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.