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Finding the Fourth Proportional to 3,787.88, 5,680.38 and 2,055.56

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Solution

The fourth proportional to 3,787.88, 5,680.38 and 2,055.56 is: 3,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.88 : 5,680.38 = 2,055.56 : x
  2. Step 2: Convert to fraction form
    3,787.88/5,680.38 = 2,055.56/x
  3. Step 3: Cross multiply
    3,787.88x = 5,680.38 × 2,055.56
  4. Step 4: Simplify right side
    3,787.88x = 11,676,361.91
  5. Step 5: Solve for x
    x = 11,676,361.91/3,787.88
  6. Step 6: Final answer
    x = 3,082.56

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