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Finding the Fourth Proportional to 3,982.40, 5,974.40 and 3,337.60

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Solution

The fourth proportional to 3,982.40, 5,974.40 and 3,337.60 is: 5,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.40 : 5,974.40 = 3,337.60 : x
  2. Step 2: Convert to fraction form
    3,982.40/5,974.40 = 3,337.60/x
  3. Step 3: Cross multiply
    3,982.40x = 5,974.40 × 3,337.60
  4. Step 4: Simplify right side
    3,982.40x = 19,940,157.44
  5. Step 5: Solve for x
    x = 19,940,157.44/3,982.40
  6. Step 6: Final answer
    x = 5,007.07

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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.