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Finding the Fourth Proportional to 3,982.72, 5,481.12 and 3,568

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Solution

The fourth proportional to 3,982.72, 5,481.12 and 3,568 is: 4,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.72 : 5,481.12 = 3,568 : x
  2. Step 2: Convert to fraction form
    3,982.72/5,481.12 = 3,568/x
  3. Step 3: Cross multiply
    3,982.72x = 5,481.12 × 3,568
  4. Step 4: Simplify right side
    3,982.72x = 19,556,636.16
  5. Step 5: Solve for x
    x = 19,556,636.16/3,982.72
  6. Step 6: Final answer
    x = 4,910.37

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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.