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Finding the Fourth Proportional to 3,884.82, 5,827.14 and 2,164.38

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Solution

The fourth proportional to 3,884.82, 5,827.14 and 2,164.38 is: 3,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.82 : 5,827.14 = 2,164.38 : x
  2. Step 2: Convert to fraction form
    3,884.82/5,827.14 = 2,164.38/x
  3. Step 3: Cross multiply
    3,884.82x = 5,827.14 × 2,164.38
  4. Step 4: Simplify right side
    3,884.82x = 12,612,145.27
  5. Step 5: Solve for x
    x = 12,612,145.27/3,884.82
  6. Step 6: Final answer
    x = 3,246.52

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