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Finding the Fourth Proportional to 4,180.92, 5,769.92 and 2,388.96

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Solution

The fourth proportional to 4,180.92, 5,769.92 and 2,388.96 is: 3,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.92 : 5,769.92 = 2,388.96 : x
  2. Step 2: Convert to fraction form
    4,180.92/5,769.92 = 2,388.96/x
  3. Step 3: Cross multiply
    4,180.92x = 5,769.92 × 2,388.96
  4. Step 4: Simplify right side
    4,180.92x = 13,784,108.08
  5. Step 5: Solve for x
    x = 13,784,108.08/4,180.92
  6. Step 6: Final answer
    x = 3,296.91

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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.