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Finding the Fourth Proportional to 3,826.92, 5,736.42 and 2,091.84

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Solution

The fourth proportional to 3,826.92, 5,736.42 and 2,091.84 is: 3,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.92 : 5,736.42 = 2,091.84 : x
  2. Step 2: Convert to fraction form
    3,826.92/5,736.42 = 2,091.84/x
  3. Step 3: Cross multiply
    3,826.92x = 5,736.42 × 2,091.84
  4. Step 4: Simplify right side
    3,826.92x = 11,999,672.81
  5. Step 5: Solve for x
    x = 11,999,672.81/3,826.92
  6. Step 6: Final answer
    x = 3,135.60

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