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Finding the Fourth Proportional to 3,789.67, 5,684.83 and 1,157.77

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Solution

The fourth proportional to 3,789.67, 5,684.83 and 1,157.77 is: 1,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.67 : 5,684.83 = 1,157.77 : x
  2. Step 2: Convert to fraction form
    3,789.67/5,684.83 = 1,157.77/x
  3. Step 3: Cross multiply
    3,789.67x = 5,684.83 × 1,157.77
  4. Step 4: Simplify right side
    3,789.67x = 6,581,691.42
  5. Step 5: Solve for x
    x = 6,581,691.42/3,789.67
  6. Step 6: Final answer
    x = 1,736.75

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