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Finding the Fourth Proportional to 3,986.49, 5,982.17 and 3,743.49

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Solution

The fourth proportional to 3,986.49, 5,982.17 and 3,743.49 is: 5,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.49 : 5,982.17 = 3,743.49 : x
  2. Step 2: Convert to fraction form
    3,986.49/5,982.17 = 3,743.49/x
  3. Step 3: Cross multiply
    3,986.49x = 5,982.17 × 3,743.49
  4. Step 4: Simplify right side
    3,986.49x = 22,394,193.57
  5. Step 5: Solve for x
    x = 22,394,193.57/3,986.49
  6. Step 6: Final answer
    x = 5,617.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.