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Finding the Fourth Proportional to 5,444.69, 8,167.13 and 1,549.20

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Solution

The fourth proportional to 5,444.69, 8,167.13 and 1,549.20 is: 2,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.69 : 8,167.13 = 1,549.20 : x
  2. Step 2: Convert to fraction form
    5,444.69/8,167.13 = 1,549.20/x
  3. Step 3: Cross multiply
    5,444.69x = 8,167.13 × 1,549.20
  4. Step 4: Simplify right side
    5,444.69x = 12,652,517.80
  5. Step 5: Solve for x
    x = 12,652,517.80/5,444.69
  6. Step 6: Final answer
    x = 2,323.83

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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.