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Finding the Fourth Proportional to 3,787.74, 5,682.78 and 1,190.70

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Solution

The fourth proportional to 3,787.74, 5,682.78 and 1,190.70 is: 1,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.74 : 5,682.78 = 1,190.70 : x
  2. Step 2: Convert to fraction form
    3,787.74/5,682.78 = 1,190.70/x
  3. Step 3: Cross multiply
    3,787.74x = 5,682.78 × 1,190.70
  4. Step 4: Simplify right side
    3,787.74x = 6,766,486.15
  5. Step 5: Solve for x
    x = 6,766,486.15/3,787.74
  6. Step 6: Final answer
    x = 1,786.42

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