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Finding the Fourth Proportional to 5,144.87, 7,102.38 and 3,446.30

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Solution

The fourth proportional to 5,144.87, 7,102.38 and 3,446.30 is: 4,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.87 : 7,102.38 = 3,446.30 : x
  2. Step 2: Convert to fraction form
    5,144.87/7,102.38 = 3,446.30/x
  3. Step 3: Cross multiply
    5,144.87x = 7,102.38 × 3,446.30
  4. Step 4: Simplify right side
    5,144.87x = 24,476,943.49
  5. Step 5: Solve for x
    x = 24,476,943.49/5,144.87
  6. Step 6: Final answer
    x = 4,757.54

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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.