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Finding the Fourth Proportional to 3,872.12, 5,803.64 and 1,787.72

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Solution

The fourth proportional to 3,872.12, 5,803.64 and 1,787.72 is: 2,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.12 : 5,803.64 = 1,787.72 : x
  2. Step 2: Convert to fraction form
    3,872.12/5,803.64 = 1,787.72/x
  3. Step 3: Cross multiply
    3,872.12x = 5,803.64 × 1,787.72
  4. Step 4: Simplify right side
    3,872.12x = 10,375,283.30
  5. Step 5: Solve for x
    x = 10,375,283.30/3,872.12
  6. Step 6: Final answer
    x = 2,679.48

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