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Finding the Fourth Proportional to 3,789.86, 5,680.17 and 1,709.30

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Solution

The fourth proportional to 3,789.86, 5,680.17 and 1,709.30 is: 2,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.86 : 5,680.17 = 1,709.30 : x
  2. Step 2: Convert to fraction form
    3,789.86/5,680.17 = 1,709.30/x
  3. Step 3: Cross multiply
    3,789.86x = 5,680.17 × 1,709.30
  4. Step 4: Simplify right side
    3,789.86x = 9,709,128.78
  5. Step 5: Solve for x
    x = 9,709,128.78/3,789.86
  6. Step 6: Final answer
    x = 2,561.87

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