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Finding the Fourth Proportional to 5,034.80, 7,553.28 and 1,524.92

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Solution

The fourth proportional to 5,034.80, 7,553.28 and 1,524.92 is: 2,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.80 : 7,553.28 = 1,524.92 : x
  2. Step 2: Convert to fraction form
    5,034.80/7,553.28 = 1,524.92/x
  3. Step 3: Cross multiply
    5,034.80x = 7,553.28 × 1,524.92
  4. Step 4: Simplify right side
    5,034.80x = 11,518,147.74
  5. Step 5: Solve for x
    x = 11,518,147.74/5,034.80
  6. Step 6: Final answer
    x = 2,287.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.