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Finding the Fourth Proportional to 3,826.68, 5,736.57 and 2,262.84

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Solution

The fourth proportional to 3,826.68, 5,736.57 and 2,262.84 is: 3,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.68 : 5,736.57 = 2,262.84 : x
  2. Step 2: Convert to fraction form
    3,826.68/5,736.57 = 2,262.84/x
  3. Step 3: Cross multiply
    3,826.68x = 5,736.57 × 2,262.84
  4. Step 4: Simplify right side
    3,826.68x = 12,980,940.06
  5. Step 5: Solve for x
    x = 12,980,940.06/3,826.68
  6. Step 6: Final answer
    x = 3,392.22

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