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Finding the Fourth Proportional to 3,861.78, 5,791.75 and 1,780.48

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Solution

The fourth proportional to 3,861.78, 5,791.75 and 1,780.48 is: 2,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.78 : 5,791.75 = 1,780.48 : x
  2. Step 2: Convert to fraction form
    3,861.78/5,791.75 = 1,780.48/x
  3. Step 3: Cross multiply
    3,861.78x = 5,791.75 × 1,780.48
  4. Step 4: Simplify right side
    3,861.78x = 10,312,107.84
  5. Step 5: Solve for x
    x = 10,312,107.84/3,861.78
  6. Step 6: Final answer
    x = 2,670.30

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