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Finding the Fourth Proportional to 5,425.41, 8,138.05 and 1,321.41

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Solution

The fourth proportional to 5,425.41, 8,138.05 and 1,321.41 is: 1,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.41 : 8,138.05 = 1,321.41 : x
  2. Step 2: Convert to fraction form
    5,425.41/8,138.05 = 1,321.41/x
  3. Step 3: Cross multiply
    5,425.41x = 8,138.05 × 1,321.41
  4. Step 4: Simplify right side
    5,425.41x = 10,753,700.65
  5. Step 5: Solve for x
    x = 10,753,700.65/5,425.41
  6. Step 6: Final answer
    x = 1,982.10

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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.