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Finding the Fourth Proportional to 3,809.97, 5,716.17 and 1,470.96

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Solution

The fourth proportional to 3,809.97, 5,716.17 and 1,470.96 is: 2,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.97 : 5,716.17 = 1,470.96 : x
  2. Step 2: Convert to fraction form
    3,809.97/5,716.17 = 1,470.96/x
  3. Step 3: Cross multiply
    3,809.97x = 5,716.17 × 1,470.96
  4. Step 4: Simplify right side
    3,809.97x = 8,408,257.42
  5. Step 5: Solve for x
    x = 8,408,257.42/3,809.97
  6. Step 6: Final answer
    x = 2,206.91

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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.