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Finding the Fourth Proportional to 5,743.67, 8,614.80 and 1,584.09

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Solution

The fourth proportional to 5,743.67, 8,614.80 and 1,584.09 is: 2,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.67 : 8,614.80 = 1,584.09 : x
  2. Step 2: Convert to fraction form
    5,743.67/8,614.80 = 1,584.09/x
  3. Step 3: Cross multiply
    5,743.67x = 8,614.80 × 1,584.09
  4. Step 4: Simplify right side
    5,743.67x = 13,646,618.53
  5. Step 5: Solve for x
    x = 13,646,618.53/5,743.67
  6. Step 6: Final answer
    x = 2,375.94

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