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Finding the Fourth Proportional to 5,425.80, 8,138.72 and 1,321.80

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Solution

The fourth proportional to 5,425.80, 8,138.72 and 1,321.80 is: 1,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.80 : 8,138.72 = 1,321.80 : x
  2. Step 2: Convert to fraction form
    5,425.80/8,138.72 = 1,321.80/x
  3. Step 3: Cross multiply
    5,425.80x = 8,138.72 × 1,321.80
  4. Step 4: Simplify right side
    5,425.80x = 10,757,760.10
  5. Step 5: Solve for x
    x = 10,757,760.10/5,425.80
  6. Step 6: Final answer
    x = 1,982.70

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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.