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Finding the Fourth Proportional to 3,380.64, 5,071.66 and 1,189.54

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Solution

The fourth proportional to 3,380.64, 5,071.66 and 1,189.54 is: 1,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.64 : 5,071.66 = 1,189.54 : x
  2. Step 2: Convert to fraction form
    3,380.64/5,071.66 = 1,189.54/x
  3. Step 3: Cross multiply
    3,380.64x = 5,071.66 × 1,189.54
  4. Step 4: Simplify right side
    3,380.64x = 6,032,942.44
  5. Step 5: Solve for x
    x = 6,032,942.44/3,380.64
  6. Step 6: Final answer
    x = 1,784.56

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