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Finding the Fourth Proportional to 5,367.54, 8,040.22 and 3,982.44

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Solution

The fourth proportional to 5,367.54, 8,040.22 and 3,982.44 is: 5,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.54 : 8,040.22 = 3,982.44 : x
  2. Step 2: Convert to fraction form
    5,367.54/8,040.22 = 3,982.44/x
  3. Step 3: Cross multiply
    5,367.54x = 8,040.22 × 3,982.44
  4. Step 4: Simplify right side
    5,367.54x = 32,019,693.74
  5. Step 5: Solve for x
    x = 32,019,693.74/5,367.54
  6. Step 6: Final answer
    x = 5,965.43

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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.