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Finding the Fourth Proportional to 5,489.35, 8,233.49 and 1,540.25

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Solution

The fourth proportional to 5,489.35, 8,233.49 and 1,540.25 is: 2,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.35 : 8,233.49 = 1,540.25 : x
  2. Step 2: Convert to fraction form
    5,489.35/8,233.49 = 1,540.25/x
  3. Step 3: Cross multiply
    5,489.35x = 8,233.49 × 1,540.25
  4. Step 4: Simplify right side
    5,489.35x = 12,681,657.41
  5. Step 5: Solve for x
    x = 12,681,657.41/5,489.35
  6. Step 6: Final answer
    x = 2,310.23

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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.