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Finding the Fourth Proportional to 3,786.52, 5,680.70 and 1,189.46

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Solution

The fourth proportional to 3,786.52, 5,680.70 and 1,189.46 is: 1,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.52 : 5,680.70 = 1,189.46 : x
  2. Step 2: Convert to fraction form
    3,786.52/5,680.70 = 1,189.46/x
  3. Step 3: Cross multiply
    3,786.52x = 5,680.70 × 1,189.46
  4. Step 4: Simplify right side
    3,786.52x = 6,756,965.42
  5. Step 5: Solve for x
    x = 6,756,965.42/3,786.52
  6. Step 6: Final answer
    x = 1,784.48

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