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Finding the Fourth Proportional to 3,871.52, 5,342.72 and 2,278.23

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Solution

The fourth proportional to 3,871.52, 5,342.72 and 2,278.23 is: 3,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.52 : 5,342.72 = 2,278.23 : x
  2. Step 2: Convert to fraction form
    3,871.52/5,342.72 = 2,278.23/x
  3. Step 3: Cross multiply
    3,871.52x = 5,342.72 × 2,278.23
  4. Step 4: Simplify right side
    3,871.52x = 12,171,913.56
  5. Step 5: Solve for x
    x = 12,171,913.56/3,871.52
  6. Step 6: Final answer
    x = 3,143.96

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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.