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Finding the Fourth Proportional to 3,786.48, 5,680.70 and 1,189.44

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Solution

The fourth proportional to 3,786.48, 5,680.70 and 1,189.44 is: 1,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.48 : 5,680.70 = 1,189.44 : x
  2. Step 2: Convert to fraction form
    3,786.48/5,680.70 = 1,189.44/x
  3. Step 3: Cross multiply
    3,786.48x = 5,680.70 × 1,189.44
  4. Step 4: Simplify right side
    3,786.48x = 6,756,851.81
  5. Step 5: Solve for x
    x = 6,756,851.81/3,786.48
  6. Step 6: Final answer
    x = 1,784.47

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