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Finding the Fourth Proportional to 5,982.31, 8,255.19 and 3,329.65

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Solution

The fourth proportional to 5,982.31, 8,255.19 and 3,329.65 is: 4,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.31 : 8,255.19 = 3,329.65 : x
  2. Step 2: Convert to fraction form
    5,982.31/8,255.19 = 3,329.65/x
  3. Step 3: Cross multiply
    5,982.31x = 8,255.19 × 3,329.65
  4. Step 4: Simplify right side
    5,982.31x = 27,486,893.38
  5. Step 5: Solve for x
    x = 27,486,893.38/5,982.31
  6. Step 6: Final answer
    x = 4,594.70

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Why These Related Problems?

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