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Finding the Fourth Proportional to 5,180.61, 7,769.37 and 1,892.94

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Solution

The fourth proportional to 5,180.61, 7,769.37 and 1,892.94 is: 2,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.61 : 7,769.37 = 1,892.94 : x
  2. Step 2: Convert to fraction form
    5,180.61/7,769.37 = 1,892.94/x
  3. Step 3: Cross multiply
    5,180.61x = 7,769.37 × 1,892.94
  4. Step 4: Simplify right side
    5,180.61x = 14,706,951.25
  5. Step 5: Solve for x
    x = 14,706,951.25/5,180.61
  6. Step 6: Final answer
    x = 2,838.85

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