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Finding the Fourth Proportional to 3,943.75, 5,442.75 and 2,947.30

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Solution

The fourth proportional to 3,943.75, 5,442.75 and 2,947.30 is: 4,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.75 : 5,442.75 = 2,947.30 : x
  2. Step 2: Convert to fraction form
    3,943.75/5,442.75 = 2,947.30/x
  3. Step 3: Cross multiply
    3,943.75x = 5,442.75 × 2,947.30
  4. Step 4: Simplify right side
    3,943.75x = 16,041,389.86
  5. Step 5: Solve for x
    x = 16,041,389.86/3,943.75
  6. Step 6: Final answer
    x = 4,067.55

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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.