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Finding the Fourth Proportional to 5,227.14, 7,836.68 and 4,532.85

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Solution

The fourth proportional to 5,227.14, 7,836.68 and 4,532.85 is: 6,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.14 : 7,836.68 = 4,532.85 : x
  2. Step 2: Convert to fraction form
    5,227.14/7,836.68 = 4,532.85/x
  3. Step 3: Cross multiply
    5,227.14x = 7,836.68 × 4,532.85
  4. Step 4: Simplify right side
    5,227.14x = 35,522,494.94
  5. Step 5: Solve for x
    x = 35,522,494.94/5,227.14
  6. Step 6: Final answer
    x = 6,795.78

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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.