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Finding the Fourth Proportional to 3,932.71, 5,427.02 and 2,164.32

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Solution

The fourth proportional to 3,932.71, 5,427.02 and 2,164.32 is: 2,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.71 : 5,427.02 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    3,932.71/5,427.02 = 2,164.32/x
  3. Step 3: Cross multiply
    3,932.71x = 5,427.02 × 2,164.32
  4. Step 4: Simplify right side
    3,932.71x = 11,745,807.93
  5. Step 5: Solve for x
    x = 11,745,807.93/3,932.71
  6. Step 6: Final answer
    x = 2,986.70

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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.