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Finding the Fourth Proportional to 5,234.24, 7,220.57 and 3,441.47

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Solution

The fourth proportional to 5,234.24, 7,220.57 and 3,441.47 is: 4,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.24 : 7,220.57 = 3,441.47 : x
  2. Step 2: Convert to fraction form
    5,234.24/7,220.57 = 3,441.47/x
  3. Step 3: Cross multiply
    5,234.24x = 7,220.57 × 3,441.47
  4. Step 4: Simplify right side
    5,234.24x = 24,849,375.04
  5. Step 5: Solve for x
    x = 24,849,375.04/5,234.24
  6. Step 6: Final answer
    x = 4,747.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.