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Finding the Fourth Proportional to 5,222.78, 7,834.15 and 1,327.18

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Solution

The fourth proportional to 5,222.78, 7,834.15 and 1,327.18 is: 1,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.78 : 7,834.15 = 1,327.18 : x
  2. Step 2: Convert to fraction form
    5,222.78/7,834.15 = 1,327.18/x
  3. Step 3: Cross multiply
    5,222.78x = 7,834.15 × 1,327.18
  4. Step 4: Simplify right side
    5,222.78x = 10,397,327.20
  5. Step 5: Solve for x
    x = 10,397,327.20/5,222.78
  6. Step 6: Final answer
    x = 1,990.76

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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.