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Finding the Fourth Proportional to 4,141.25, 5,717.04 and 3,194.92

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Solution

The fourth proportional to 4,141.25, 5,717.04 and 3,194.92 is: 4,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.25 : 5,717.04 = 3,194.92 : x
  2. Step 2: Convert to fraction form
    4,141.25/5,717.04 = 3,194.92/x
  3. Step 3: Cross multiply
    4,141.25x = 5,717.04 × 3,194.92
  4. Step 4: Simplify right side
    4,141.25x = 18,265,456.85
  5. Step 5: Solve for x
    x = 18,265,456.85/4,141.25
  6. Step 6: Final answer
    x = 4,410.61

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