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Finding the Fourth Proportional to 5,713.53, 8,561.46 and 3,961.97

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Solution

The fourth proportional to 5,713.53, 8,561.46 and 3,961.97 is: 5,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.53 : 8,561.46 = 3,961.97 : x
  2. Step 2: Convert to fraction form
    5,713.53/8,561.46 = 3,961.97/x
  3. Step 3: Cross multiply
    5,713.53x = 8,561.46 × 3,961.97
  4. Step 4: Simplify right side
    5,713.53x = 33,920,204.87
  5. Step 5: Solve for x
    x = 33,920,204.87/5,713.53
  6. Step 6: Final answer
    x = 5,936.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.