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Finding the Fourth Proportional to 3,786.61, 5,680.46 and 1,189.75

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Solution

The fourth proportional to 3,786.61, 5,680.46 and 1,189.75 is: 1,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.61 : 5,680.46 = 1,189.75 : x
  2. Step 2: Convert to fraction form
    3,786.61/5,680.46 = 1,189.75/x
  3. Step 3: Cross multiply
    3,786.61x = 5,680.46 × 1,189.75
  4. Step 4: Simplify right side
    3,786.61x = 6,758,327.29
  5. Step 5: Solve for x
    x = 6,758,327.29/3,786.61
  6. Step 6: Final answer
    x = 1,784.80

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