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Finding the Fourth Proportional to 4,181.88, 5,772.60 and 2,856.28

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Solution

The fourth proportional to 4,181.88, 5,772.60 and 2,856.28 is: 3,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.88 : 5,772.60 = 2,856.28 : x
  2. Step 2: Convert to fraction form
    4,181.88/5,772.60 = 2,856.28/x
  3. Step 3: Cross multiply
    4,181.88x = 5,772.60 × 2,856.28
  4. Step 4: Simplify right side
    4,181.88x = 16,488,161.93
  5. Step 5: Solve for x
    x = 16,488,161.93/4,181.88
  6. Step 6: Final answer
    x = 3,942.76

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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.