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Finding the Fourth Proportional to 5,689.70, 8,540.62 and 3,229.32

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Solution

The fourth proportional to 5,689.70, 8,540.62 and 3,229.32 is: 4,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.70 : 8,540.62 = 3,229.32 : x
  2. Step 2: Convert to fraction form
    5,689.70/8,540.62 = 3,229.32/x
  3. Step 3: Cross multiply
    5,689.70x = 8,540.62 × 3,229.32
  4. Step 4: Simplify right side
    5,689.70x = 27,580,394.98
  5. Step 5: Solve for x
    x = 27,580,394.98/5,689.70
  6. Step 6: Final answer
    x = 4,847.43

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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.