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Finding the Fourth Proportional to 3,982.75, 5,974.13 and 1,644.08

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Solution

The fourth proportional to 3,982.75, 5,974.13 and 1,644.08 is: 2,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.75 : 5,974.13 = 1,644.08 : x
  2. Step 2: Convert to fraction form
    3,982.75/5,974.13 = 1,644.08/x
  3. Step 3: Cross multiply
    3,982.75x = 5,974.13 × 1,644.08
  4. Step 4: Simplify right side
    3,982.75x = 9,821,939.43
  5. Step 5: Solve for x
    x = 9,821,939.43/3,982.75
  6. Step 6: Final answer
    x = 2,466.12

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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.