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Finding the Fourth Proportional to 3,786.52, 5,665.48 and 3,402.84

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Solution

The fourth proportional to 3,786.52, 5,665.48 and 3,402.84 is: 5,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.52 : 5,665.48 = 3,402.84 : x
  2. Step 2: Convert to fraction form
    3,786.52/5,665.48 = 3,402.84/x
  3. Step 3: Cross multiply
    3,786.52x = 5,665.48 × 3,402.84
  4. Step 4: Simplify right side
    3,786.52x = 19,278,721.96
  5. Step 5: Solve for x
    x = 19,278,721.96/3,786.52
  6. Step 6: Final answer
    x = 5,091.41

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