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Finding the Fourth Proportional to 3,452.44, 5,171.46 and 2,866

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Solution

The fourth proportional to 3,452.44, 5,171.46 and 2,866 is: 4,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.44 : 5,171.46 = 2,866 : x
  2. Step 2: Convert to fraction form
    3,452.44/5,171.46 = 2,866/x
  3. Step 3: Cross multiply
    3,452.44x = 5,171.46 × 2,866
  4. Step 4: Simplify right side
    3,452.44x = 14,821,404.36
  5. Step 5: Solve for x
    x = 14,821,404.36/3,452.44
  6. Step 6: Final answer
    x = 4,293.02

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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.