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Finding the Fourth Proportional to 3,826.71, 5,736.02 and 1,634.31

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Solution

The fourth proportional to 3,826.71, 5,736.02 and 1,634.31 is: 2,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.71 : 5,736.02 = 1,634.31 : x
  2. Step 2: Convert to fraction form
    3,826.71/5,736.02 = 1,634.31/x
  3. Step 3: Cross multiply
    3,826.71x = 5,736.02 × 1,634.31
  4. Step 4: Simplify right side
    3,826.71x = 9,374,426.67
  5. Step 5: Solve for x
    x = 9,374,426.67/3,826.71
  6. Step 6: Final answer
    x = 2,449.74

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