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Finding the Fourth Proportional to 4,943.85, 7,408.31 and 2,168.97

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Solution

The fourth proportional to 4,943.85, 7,408.31 and 2,168.97 is: 3,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.85 : 7,408.31 = 2,168.97 : x
  2. Step 2: Convert to fraction form
    4,943.85/7,408.31 = 2,168.97/x
  3. Step 3: Cross multiply
    4,943.85x = 7,408.31 × 2,168.97
  4. Step 4: Simplify right side
    4,943.85x = 16,068,391.30
  5. Step 5: Solve for x
    x = 16,068,391.30/4,943.85
  6. Step 6: Final answer
    x = 3,250.18

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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.