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Finding the Fourth Proportional to 5,472.92, 8,202.44 and 3,497.78

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Solution

The fourth proportional to 5,472.92, 8,202.44 and 3,497.78 is: 5,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.92 : 8,202.44 = 3,497.78 : x
  2. Step 2: Convert to fraction form
    5,472.92/8,202.44 = 3,497.78/x
  3. Step 3: Cross multiply
    5,472.92x = 8,202.44 × 3,497.78
  4. Step 4: Simplify right side
    5,472.92x = 28,690,359.83
  5. Step 5: Solve for x
    x = 28,690,359.83/5,472.92
  6. Step 6: Final answer
    x = 5,242.24

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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.