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Finding the Fourth Proportional to 5,472.52, 7,552 and 3,234.08

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Solution

The fourth proportional to 5,472.52, 7,552 and 3,234.08 is: 4,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.52 : 7,552 = 3,234.08 : x
  2. Step 2: Convert to fraction form
    5,472.52/7,552 = 3,234.08/x
  3. Step 3: Cross multiply
    5,472.52x = 7,552 × 3,234.08
  4. Step 4: Simplify right side
    5,472.52x = 24,423,772.16
  5. Step 5: Solve for x
    x = 24,423,772.16/5,472.52
  6. Step 6: Final answer
    x = 4,462.98

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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.