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Finding the Fourth Proportional to 3,993.84, 5,984.68 and 1,684.08

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Solution

The fourth proportional to 3,993.84, 5,984.68 and 1,684.08 is: 2,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.84 : 5,984.68 = 1,684.08 : x
  2. Step 2: Convert to fraction form
    3,993.84/5,984.68 = 1,684.08/x
  3. Step 3: Cross multiply
    3,993.84x = 5,984.68 × 1,684.08
  4. Step 4: Simplify right side
    3,993.84x = 10,078,679.89
  5. Step 5: Solve for x
    x = 10,078,679.89/3,993.84
  6. Step 6: Final answer
    x = 2,523.56

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