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Finding the Fourth Proportional to 3,664.64, 5,497.76 and 1,067.68

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Solution

The fourth proportional to 3,664.64, 5,497.76 and 1,067.68 is: 1,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.64 : 5,497.76 = 1,067.68 : x
  2. Step 2: Convert to fraction form
    3,664.64/5,497.76 = 1,067.68/x
  3. Step 3: Cross multiply
    3,664.64x = 5,497.76 × 1,067.68
  4. Step 4: Simplify right side
    3,664.64x = 5,869,848.40
  5. Step 5: Solve for x
    x = 5,869,848.40/3,664.64
  6. Step 6: Final answer
    x = 1,601.75

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