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Finding the Fourth Proportional to 3,109.97, 4,664.80 and 1,162.02

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Solution

The fourth proportional to 3,109.97, 4,664.80 and 1,162.02 is: 1,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.97 : 4,664.80 = 1,162.02 : x
  2. Step 2: Convert to fraction form
    3,109.97/4,664.80 = 1,162.02/x
  3. Step 3: Cross multiply
    3,109.97x = 4,664.80 × 1,162.02
  4. Step 4: Simplify right side
    3,109.97x = 5,420,585.09
  5. Step 5: Solve for x
    x = 5,420,585.09/3,109.97
  6. Step 6: Final answer
    x = 1,742.97

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