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Finding the Fourth Proportional to 3,932.68, 5,427.12 and 2,164.28

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Solution

The fourth proportional to 3,932.68, 5,427.12 and 2,164.28 is: 2,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.68 : 5,427.12 = 2,164.28 : x
  2. Step 2: Convert to fraction form
    3,932.68/5,427.12 = 2,164.28/x
  3. Step 3: Cross multiply
    3,932.68x = 5,427.12 × 2,164.28
  4. Step 4: Simplify right side
    3,932.68x = 11,745,807.27
  5. Step 5: Solve for x
    x = 11,745,807.27/3,932.68
  6. Step 6: Final answer
    x = 2,986.72

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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.