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Finding the Fourth Proportional to 5,960.92, 8,229.78 and 5,589

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Solution

The fourth proportional to 5,960.92, 8,229.78 and 5,589 is: 7,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.92 : 8,229.78 = 5,589 : x
  2. Step 2: Convert to fraction form
    5,960.92/8,229.78 = 5,589/x
  3. Step 3: Cross multiply
    5,960.92x = 8,229.78 × 5,589
  4. Step 4: Simplify right side
    5,960.92x = 45,996,240.42
  5. Step 5: Solve for x
    x = 45,996,240.42/5,960.92
  6. Step 6: Final answer
    x = 7,716.30

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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.