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Finding the Fourth Proportional to 3,824.64, 5,736.96 and 1,876.48

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Solution

The fourth proportional to 3,824.64, 5,736.96 and 1,876.48 is: 2,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.64 : 5,736.96 = 1,876.48 : x
  2. Step 2: Convert to fraction form
    3,824.64/5,736.96 = 1,876.48/x
  3. Step 3: Cross multiply
    3,824.64x = 5,736.96 × 1,876.48
  4. Step 4: Simplify right side
    3,824.64x = 10,765,290.70
  5. Step 5: Solve for x
    x = 10,765,290.70/3,824.64
  6. Step 6: Final answer
    x = 2,814.72

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