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Finding the Fourth Proportional to 4,469.91, 6,169.38 and 2,581.80

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Solution

The fourth proportional to 4,469.91, 6,169.38 and 2,581.80 is: 3,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.91 : 6,169.38 = 2,581.80 : x
  2. Step 2: Convert to fraction form
    4,469.91/6,169.38 = 2,581.80/x
  3. Step 3: Cross multiply
    4,469.91x = 6,169.38 × 2,581.80
  4. Step 4: Simplify right side
    4,469.91x = 15,928,105.28
  5. Step 5: Solve for x
    x = 15,928,105.28/4,469.91
  6. Step 6: Final answer
    x = 3,563.41

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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.