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Finding the Fourth Proportional to 3,470.92, 5,207.29 and 1,279.87

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Solution

The fourth proportional to 3,470.92, 5,207.29 and 1,279.87 is: 1,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.92 : 5,207.29 = 1,279.87 : x
  2. Step 2: Convert to fraction form
    3,470.92/5,207.29 = 1,279.87/x
  3. Step 3: Cross multiply
    3,470.92x = 5,207.29 × 1,279.87
  4. Step 4: Simplify right side
    3,470.92x = 6,664,638.03
  5. Step 5: Solve for x
    x = 6,664,638.03/3,470.92
  6. Step 6: Final answer
    x = 1,920.14

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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.