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Finding the Fourth Proportional to 3,785.14, 5,664.80 and 3,456.48

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Solution

The fourth proportional to 3,785.14, 5,664.80 and 3,456.48 is: 5,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.14 : 5,664.80 = 3,456.48 : x
  2. Step 2: Convert to fraction form
    3,785.14/5,664.80 = 3,456.48/x
  3. Step 3: Cross multiply
    3,785.14x = 5,664.80 × 3,456.48
  4. Step 4: Simplify right side
    3,785.14x = 19,580,297.79
  5. Step 5: Solve for x
    x = 19,580,297.79/3,785.14
  6. Step 6: Final answer
    x = 5,172.94

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