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Finding the Fourth Proportional to 5,472.38, 7,552.44 and 3,234.98

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Solution

The fourth proportional to 5,472.38, 7,552.44 and 3,234.98 is: 4,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.38 : 7,552.44 = 3,234.98 : x
  2. Step 2: Convert to fraction form
    5,472.38/7,552.44 = 3,234.98/x
  3. Step 3: Cross multiply
    5,472.38x = 7,552.44 × 3,234.98
  4. Step 4: Simplify right side
    5,472.38x = 24,431,992.35
  5. Step 5: Solve for x
    x = 24,431,992.35/5,472.38
  6. Step 6: Final answer
    x = 4,464.60

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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.