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Finding the Fourth Proportional to 3,471.94, 5,194.94 and 2,011.78

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Solution

The fourth proportional to 3,471.94, 5,194.94 and 2,011.78 is: 3,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.94 : 5,194.94 = 2,011.78 : x
  2. Step 2: Convert to fraction form
    3,471.94/5,194.94 = 2,011.78/x
  3. Step 3: Cross multiply
    3,471.94x = 5,194.94 × 2,011.78
  4. Step 4: Simplify right side
    3,471.94x = 10,451,076.39
  5. Step 5: Solve for x
    x = 10,451,076.39/3,471.94
  6. Step 6: Final answer
    x = 3,010.15

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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.