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Finding the Fourth Proportional to 3,142.72, 4,713.28 and 1,843.52

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Solution

The fourth proportional to 3,142.72, 4,713.28 and 1,843.52 is: 2,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.72 : 4,713.28 = 1,843.52 : x
  2. Step 2: Convert to fraction form
    3,142.72/4,713.28 = 1,843.52/x
  3. Step 3: Cross multiply
    3,142.72x = 4,713.28 × 1,843.52
  4. Step 4: Simplify right side
    3,142.72x = 8,689,025.95
  5. Step 5: Solve for x
    x = 8,689,025.95/3,142.72
  6. Step 6: Final answer
    x = 2,764.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.