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Finding the Fourth Proportional to 3,446.14, 5,167.67 and 980.39

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Solution

The fourth proportional to 3,446.14, 5,167.67 and 980.39 is: 1,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.14 : 5,167.67 = 980.39 : x
  2. Step 2: Convert to fraction form
    3,446.14/5,167.67 = 980.39/x
  3. Step 3: Cross multiply
    3,446.14x = 5,167.67 × 980.39
  4. Step 4: Simplify right side
    3,446.14x = 5,066,306.15
  5. Step 5: Solve for x
    x = 5,066,306.15/3,446.14
  6. Step 6: Final answer
    x = 1,470.14

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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.