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Finding the Fourth Proportional to 3,769.78, 5,202.29 and 2,091.20

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Solution

The fourth proportional to 3,769.78, 5,202.29 and 2,091.20 is: 2,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.78 : 5,202.29 = 2,091.20 : x
  2. Step 2: Convert to fraction form
    3,769.78/5,202.29 = 2,091.20/x
  3. Step 3: Cross multiply
    3,769.78x = 5,202.29 × 2,091.20
  4. Step 4: Simplify right side
    3,769.78x = 10,879,047.08
  5. Step 5: Solve for x
    x = 10,879,047.08/3,769.78
  6. Step 6: Final answer
    x = 2,885.86

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