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Finding the Fourth Proportional to 5,949.44, 8,212.04 and 3,433.20

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Solution

The fourth proportional to 5,949.44, 8,212.04 and 3,433.20 is: 4,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.44 : 8,212.04 = 3,433.20 : x
  2. Step 2: Convert to fraction form
    5,949.44/8,212.04 = 3,433.20/x
  3. Step 3: Cross multiply
    5,949.44x = 8,212.04 × 3,433.20
  4. Step 4: Simplify right side
    5,949.44x = 28,193,575.73
  5. Step 5: Solve for x
    x = 28,193,575.73/5,949.44
  6. Step 6: Final answer
    x = 4,738.86

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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.