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Finding the Fourth Proportional to 3,481.99, 5,221.96 and 1,016.04

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Solution

The fourth proportional to 3,481.99, 5,221.96 and 1,016.04 is: 1,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.99 : 5,221.96 = 1,016.04 : x
  2. Step 2: Convert to fraction form
    3,481.99/5,221.96 = 1,016.04/x
  3. Step 3: Cross multiply
    3,481.99x = 5,221.96 × 1,016.04
  4. Step 4: Simplify right side
    3,481.99x = 5,305,720.24
  5. Step 5: Solve for x
    x = 5,305,720.24/3,481.99
  6. Step 6: Final answer
    x = 1,523.76

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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.