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Finding the Fourth Proportional to 3,431.35, 5,147.03 and 834.29

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Solution

The fourth proportional to 3,431.35, 5,147.03 and 834.29 is: 1,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.35 : 5,147.03 = 834.29 : x
  2. Step 2: Convert to fraction form
    3,431.35/5,147.03 = 834.29/x
  3. Step 3: Cross multiply
    3,431.35x = 5,147.03 × 834.29
  4. Step 4: Simplify right side
    3,431.35x = 4,294,115.66
  5. Step 5: Solve for x
    x = 4,294,115.66/3,431.35
  6. Step 6: Final answer
    x = 1,251.44

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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.