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Finding the Fourth Proportional to 3,836.16, 5,736.96 and 2,271.78

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Solution

The fourth proportional to 3,836.16, 5,736.96 and 2,271.78 is: 3,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.16 : 5,736.96 = 2,271.78 : x
  2. Step 2: Convert to fraction form
    3,836.16/5,736.96 = 2,271.78/x
  3. Step 3: Cross multiply
    3,836.16x = 5,736.96 × 2,271.78
  4. Step 4: Simplify right side
    3,836.16x = 13,033,110.99
  5. Step 5: Solve for x
    x = 13,033,110.99/3,836.16
  6. Step 6: Final answer
    x = 3,397.44

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