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Finding the Fourth Proportional to 3,937.60, 5,906.40 and 1,340.55

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Solution

The fourth proportional to 3,937.60, 5,906.40 and 1,340.55 is: 2,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.60 : 5,906.40 = 1,340.55 : x
  2. Step 2: Convert to fraction form
    3,937.60/5,906.40 = 1,340.55/x
  3. Step 3: Cross multiply
    3,937.60x = 5,906.40 × 1,340.55
  4. Step 4: Simplify right side
    3,937.60x = 7,917,824.52
  5. Step 5: Solve for x
    x = 7,917,824.52/3,937.60
  6. Step 6: Final answer
    x = 2,010.83

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