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Finding the Fourth Proportional to 3,789.75, 5,684.82 and 1,192.89

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Solution

The fourth proportional to 3,789.75, 5,684.82 and 1,192.89 is: 1,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.75 : 5,684.82 = 1,192.89 : x
  2. Step 2: Convert to fraction form
    3,789.75/5,684.82 = 1,192.89/x
  3. Step 3: Cross multiply
    3,789.75x = 5,684.82 × 1,192.89
  4. Step 4: Simplify right side
    3,789.75x = 6,781,364.93
  5. Step 5: Solve for x
    x = 6,781,364.93/3,789.75
  6. Step 6: Final answer
    x = 1,789.40

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