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Finding the Fourth Proportional to 5,738.75, 8,609.57 and 1,634.75

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Solution

The fourth proportional to 5,738.75, 8,609.57 and 1,634.75 is: 2,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.75 : 8,609.57 = 1,634.75 : x
  2. Step 2: Convert to fraction form
    5,738.75/8,609.57 = 1,634.75/x
  3. Step 3: Cross multiply
    5,738.75x = 8,609.57 × 1,634.75
  4. Step 4: Simplify right side
    5,738.75x = 14,074,486.38
  5. Step 5: Solve for x
    x = 14,074,486.38/5,738.75
  6. Step 6: Final answer
    x = 2,452.54

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