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Finding the Fourth Proportional to 3,787.92, 5,674.32 and 1,834.20

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Solution

The fourth proportional to 3,787.92, 5,674.32 and 1,834.20 is: 2,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.92 : 5,674.32 = 1,834.20 : x
  2. Step 2: Convert to fraction form
    3,787.92/5,674.32 = 1,834.20/x
  3. Step 3: Cross multiply
    3,787.92x = 5,674.32 × 1,834.20
  4. Step 4: Simplify right side
    3,787.92x = 10,407,837.74
  5. Step 5: Solve for x
    x = 10,407,837.74/3,787.92
  6. Step 6: Final answer
    x = 2,747.64

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