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Finding the Fourth Proportional to 3,789.64, 5,677.08 and 2,141.20

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Solution

The fourth proportional to 3,789.64, 5,677.08 and 2,141.20 is: 3,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.64 : 5,677.08 = 2,141.20 : x
  2. Step 2: Convert to fraction form
    3,789.64/5,677.08 = 2,141.20/x
  3. Step 3: Cross multiply
    3,789.64x = 5,677.08 × 2,141.20
  4. Step 4: Simplify right side
    3,789.64x = 12,155,763.70
  5. Step 5: Solve for x
    x = 12,155,763.70/3,789.64
  6. Step 6: Final answer
    x = 3,207.63

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