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Finding the Fourth Proportional to 4,169.92, 5,754.36 and 2,306.92

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Solution

The fourth proportional to 4,169.92, 5,754.36 and 2,306.92 is: 3,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.92 : 5,754.36 = 2,306.92 : x
  2. Step 2: Convert to fraction form
    4,169.92/5,754.36 = 2,306.92/x
  3. Step 3: Cross multiply
    4,169.92x = 5,754.36 × 2,306.92
  4. Step 4: Simplify right side
    4,169.92x = 13,274,848.17
  5. Step 5: Solve for x
    x = 13,274,848.17/4,169.92
  6. Step 6: Final answer
    x = 3,183.48

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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.