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Finding the Fourth Proportional to 5,609.30, 8,414.09 and 2,684.39

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Solution

The fourth proportional to 5,609.30, 8,414.09 and 2,684.39 is: 4,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.30 : 8,414.09 = 2,684.39 : x
  2. Step 2: Convert to fraction form
    5,609.30/8,414.09 = 2,684.39/x
  3. Step 3: Cross multiply
    5,609.30x = 8,414.09 × 2,684.39
  4. Step 4: Simplify right side
    5,609.30x = 22,586,716.73
  5. Step 5: Solve for x
    x = 22,586,716.73/5,609.30
  6. Step 6: Final answer
    x = 4,026.65

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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.