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Finding the Fourth Proportional to 3,470.38, 4,786.22 and 2,144.41

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Solution

The fourth proportional to 3,470.38, 4,786.22 and 2,144.41 is: 2,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.38 : 4,786.22 = 2,144.41 : x
  2. Step 2: Convert to fraction form
    3,470.38/4,786.22 = 2,144.41/x
  3. Step 3: Cross multiply
    3,470.38x = 4,786.22 × 2,144.41
  4. Step 4: Simplify right side
    3,470.38x = 10,263,611.43
  5. Step 5: Solve for x
    x = 10,263,611.43/3,470.38
  6. Step 6: Final answer
    x = 2,957.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.