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Finding the Fourth Proportional to 4,489.82, 6,689.61 and 4,238.31

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Solution

The fourth proportional to 4,489.82, 6,689.61 and 4,238.31 is: 6,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.82 : 6,689.61 = 4,238.31 : x
  2. Step 2: Convert to fraction form
    4,489.82/6,689.61 = 4,238.31/x
  3. Step 3: Cross multiply
    4,489.82x = 6,689.61 × 4,238.31
  4. Step 4: Simplify right side
    4,489.82x = 28,352,640.96
  5. Step 5: Solve for x
    x = 28,352,640.96/4,489.82
  6. Step 6: Final answer
    x = 6,314.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.