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Finding the Fourth Proportional to 5,321.80, 7,991.10 and 3,132.20

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Solution

The fourth proportional to 5,321.80, 7,991.10 and 3,132.20 is: 4,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.80 : 7,991.10 = 3,132.20 : x
  2. Step 2: Convert to fraction form
    5,321.80/7,991.10 = 3,132.20/x
  3. Step 3: Cross multiply
    5,321.80x = 7,991.10 × 3,132.20
  4. Step 4: Simplify right side
    5,321.80x = 25,029,723.42
  5. Step 5: Solve for x
    x = 25,029,723.42/5,321.80
  6. Step 6: Final answer
    x = 4,703.24

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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.