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Finding the Fourth Proportional to 3,446.73, 5,170.14 and 849.69

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Solution

The fourth proportional to 3,446.73, 5,170.14 and 849.69 is: 1,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.73 : 5,170.14 = 849.69 : x
  2. Step 2: Convert to fraction form
    3,446.73/5,170.14 = 849.69/x
  3. Step 3: Cross multiply
    3,446.73x = 5,170.14 × 849.69
  4. Step 4: Simplify right side
    3,446.73x = 4,393,016.26
  5. Step 5: Solve for x
    x = 4,393,016.26/3,446.73
  6. Step 6: Final answer
    x = 1,274.55

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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.