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Finding the Fourth Proportional to 3,529.92, 5,294.76 and 932.88

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Solution

The fourth proportional to 3,529.92, 5,294.76 and 932.88 is: 1,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.92 : 5,294.76 = 932.88 : x
  2. Step 2: Convert to fraction form
    3,529.92/5,294.76 = 932.88/x
  3. Step 3: Cross multiply
    3,529.92x = 5,294.76 × 932.88
  4. Step 4: Simplify right side
    3,529.92x = 4,939,375.71
  5. Step 5: Solve for x
    x = 4,939,375.71/3,529.92
  6. Step 6: Final answer
    x = 1,399.29

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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.