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Finding the Fourth Proportional to 4,179.92, 5,770.44 and 2,856.08

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Solution

The fourth proportional to 4,179.92, 5,770.44 and 2,856.08 is: 3,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.92 : 5,770.44 = 2,856.08 : x
  2. Step 2: Convert to fraction form
    4,179.92/5,770.44 = 2,856.08/x
  3. Step 3: Cross multiply
    4,179.92x = 5,770.44 × 2,856.08
  4. Step 4: Simplify right side
    4,179.92x = 16,480,838.28
  5. Step 5: Solve for x
    x = 16,480,838.28/4,179.92
  6. Step 6: Final answer
    x = 3,942.86

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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.