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Finding the Fourth Proportional to 3,727.62, 5,584.14 and 3,406.86

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Solution

The fourth proportional to 3,727.62, 5,584.14 and 3,406.86 is: 5,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.62 : 5,584.14 = 3,406.86 : x
  2. Step 2: Convert to fraction form
    3,727.62/5,584.14 = 3,406.86/x
  3. Step 3: Cross multiply
    3,727.62x = 5,584.14 × 3,406.86
  4. Step 4: Simplify right side
    3,727.62x = 19,024,383.20
  5. Step 5: Solve for x
    x = 19,024,383.20/3,727.62
  6. Step 6: Final answer
    x = 5,103.63

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