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Finding the Fourth Proportional to 5,882.30, 8,117.04 and 3,229.65

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Solution

The fourth proportional to 5,882.30, 8,117.04 and 3,229.65 is: 4,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.30 : 8,117.04 = 3,229.65 : x
  2. Step 2: Convert to fraction form
    5,882.30/8,117.04 = 3,229.65/x
  3. Step 3: Cross multiply
    5,882.30x = 8,117.04 × 3,229.65
  4. Step 4: Simplify right side
    5,882.30x = 26,215,210.35
  5. Step 5: Solve for x
    x = 26,215,210.35/5,882.30
  6. Step 6: Final answer
    x = 4,456.63

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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.