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Finding the Fourth Proportional to 3,787.32, 5,678.46 and 2,005.80

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Solution

The fourth proportional to 3,787.32, 5,678.46 and 2,005.80 is: 3,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.32 : 5,678.46 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    3,787.32/5,678.46 = 2,005.80/x
  3. Step 3: Cross multiply
    3,787.32x = 5,678.46 × 2,005.80
  4. Step 4: Simplify right side
    3,787.32x = 11,389,855.07
  5. Step 5: Solve for x
    x = 11,389,855.07/3,787.32
  6. Step 6: Final answer
    x = 3,007.37

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