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Finding the Fourth Proportional to 4,198.76, 5,787.37 and 3,077.92

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Solution

The fourth proportional to 4,198.76, 5,787.37 and 3,077.92 is: 4,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.76 : 5,787.37 = 3,077.92 : x
  2. Step 2: Convert to fraction form
    4,198.76/5,787.37 = 3,077.92/x
  3. Step 3: Cross multiply
    4,198.76x = 5,787.37 × 3,077.92
  4. Step 4: Simplify right side
    4,198.76x = 17,813,061.87
  5. Step 5: Solve for x
    x = 17,813,061.87/4,198.76
  6. Step 6: Final answer
    x = 4,242.46

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