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Finding the Fourth Proportional to 5,221.50, 7,832.97 and 2,144.22

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Solution

The fourth proportional to 5,221.50, 7,832.97 and 2,144.22 is: 3,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.50 : 7,832.97 = 2,144.22 : x
  2. Step 2: Convert to fraction form
    5,221.50/7,832.97 = 2,144.22/x
  3. Step 3: Cross multiply
    5,221.50x = 7,832.97 × 2,144.22
  4. Step 4: Simplify right side
    5,221.50x = 16,795,610.93
  5. Step 5: Solve for x
    x = 16,795,610.93/5,221.50
  6. Step 6: Final answer
    x = 3,216.63

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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.