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Finding the Fourth Proportional to 3,867.60, 5,801.52 and 2,016.24

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Solution

The fourth proportional to 3,867.60, 5,801.52 and 2,016.24 is: 3,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.60 : 5,801.52 = 2,016.24 : x
  2. Step 2: Convert to fraction form
    3,867.60/5,801.52 = 2,016.24/x
  3. Step 3: Cross multiply
    3,867.60x = 5,801.52 × 2,016.24
  4. Step 4: Simplify right side
    3,867.60x = 11,697,256.68
  5. Step 5: Solve for x
    x = 11,697,256.68/3,867.60
  6. Step 6: Final answer
    x = 3,024.42

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