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Finding the Fourth Proportional to 5,585.71, 7,709.23 and 3,229.22

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Solution

The fourth proportional to 5,585.71, 7,709.23 and 3,229.22 is: 4,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.71 : 7,709.23 = 3,229.22 : x
  2. Step 2: Convert to fraction form
    5,585.71/7,709.23 = 3,229.22/x
  3. Step 3: Cross multiply
    5,585.71x = 7,709.23 × 3,229.22
  4. Step 4: Simplify right side
    5,585.71x = 24,894,799.70
  5. Step 5: Solve for x
    x = 24,894,799.70/5,585.71
  6. Step 6: Final answer
    x = 4,456.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.