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Finding the Fourth Proportional to 4,202.92, 5,794.02 and 3,081.88

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Solution

The fourth proportional to 4,202.92, 5,794.02 and 3,081.88 is: 4,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.92 : 5,794.02 = 3,081.88 : x
  2. Step 2: Convert to fraction form
    4,202.92/5,794.02 = 3,081.88/x
  3. Step 3: Cross multiply
    4,202.92x = 5,794.02 × 3,081.88
  4. Step 4: Simplify right side
    4,202.92x = 17,856,474.36
  5. Step 5: Solve for x
    x = 17,856,474.36/4,202.92
  6. Step 6: Final answer
    x = 4,248.59

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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.