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Finding the Fourth Proportional to 3,982.24, 5,982 and 3,367.18

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Solution

The fourth proportional to 3,982.24, 5,982 and 3,367.18 is: 5,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.24 : 5,982 = 3,367.18 : x
  2. Step 2: Convert to fraction form
    3,982.24/5,982 = 3,367.18/x
  3. Step 3: Cross multiply
    3,982.24x = 5,982 × 3,367.18
  4. Step 4: Simplify right side
    3,982.24x = 20,142,470.76
  5. Step 5: Solve for x
    x = 20,142,470.76/3,982.24
  6. Step 6: Final answer
    x = 5,058.08

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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.