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Finding the Fourth Proportional to 3,786.64, 5,676.46 and 2,032.88

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Solution

The fourth proportional to 3,786.64, 5,676.46 and 2,032.88 is: 3,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.64 : 5,676.46 = 2,032.88 : x
  2. Step 2: Convert to fraction form
    3,786.64/5,676.46 = 2,032.88/x
  3. Step 3: Cross multiply
    3,786.64x = 5,676.46 × 2,032.88
  4. Step 4: Simplify right side
    3,786.64x = 11,539,528.54
  5. Step 5: Solve for x
    x = 11,539,528.54/3,786.64
  6. Step 6: Final answer
    x = 3,047.43

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