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Finding the Fourth Proportional to 5,689.88, 8,540.38 and 3,502.88

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Solution

The fourth proportional to 5,689.88, 8,540.38 and 3,502.88 is: 5,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.88 : 8,540.38 = 3,502.88 : x
  2. Step 2: Convert to fraction form
    5,689.88/8,540.38 = 3,502.88/x
  3. Step 3: Cross multiply
    5,689.88x = 8,540.38 × 3,502.88
  4. Step 4: Simplify right side
    5,689.88x = 29,915,926.29
  5. Step 5: Solve for x
    x = 29,915,926.29/5,689.88
  6. Step 6: Final answer
    x = 5,257.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.