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Finding the Fourth Proportional to 5,222.80, 7,834.20 and 1,327.20

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Solution

The fourth proportional to 5,222.80, 7,834.20 and 1,327.20 is: 1,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.80 : 7,834.20 = 1,327.20 : x
  2. Step 2: Convert to fraction form
    5,222.80/7,834.20 = 1,327.20/x
  3. Step 3: Cross multiply
    5,222.80x = 7,834.20 × 1,327.20
  4. Step 4: Simplify right side
    5,222.80x = 10,397,550.24
  5. Step 5: Solve for x
    x = 10,397,550.24/5,222.80
  6. Step 6: Final answer
    x = 1,990.80

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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.