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Finding the Fourth Proportional to 3,932.70, 5,427 and 2,164.44

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Solution

The fourth proportional to 3,932.70, 5,427 and 2,164.44 is: 2,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.70 : 5,427 = 2,164.44 : x
  2. Step 2: Convert to fraction form
    3,932.70/5,427 = 2,164.44/x
  3. Step 3: Cross multiply
    3,932.70x = 5,427 × 2,164.44
  4. Step 4: Simplify right side
    3,932.70x = 11,746,415.88
  5. Step 5: Solve for x
    x = 11,746,415.88/3,932.70
  6. Step 6: Final answer
    x = 2,986.86

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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.