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Finding the Fourth Proportional to 4,112.41, 5,713.17 and 4,073.98

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Solution

The fourth proportional to 4,112.41, 5,713.17 and 4,073.98 is: 5,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.41 : 5,713.17 = 4,073.98 : x
  2. Step 2: Convert to fraction form
    4,112.41/5,713.17 = 4,073.98/x
  3. Step 3: Cross multiply
    4,112.41x = 5,713.17 × 4,073.98
  4. Step 4: Simplify right side
    4,112.41x = 23,275,340.32
  5. Step 5: Solve for x
    x = 23,275,340.32/4,112.41
  6. Step 6: Final answer
    x = 5,659.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.