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Finding the Fourth Proportional to 3,634.72, 5,449.20 and 1,584.16

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Solution

The fourth proportional to 3,634.72, 5,449.20 and 1,584.16 is: 2,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.72 : 5,449.20 = 1,584.16 : x
  2. Step 2: Convert to fraction form
    3,634.72/5,449.20 = 1,584.16/x
  3. Step 3: Cross multiply
    3,634.72x = 5,449.20 × 1,584.16
  4. Step 4: Simplify right side
    3,634.72x = 8,632,404.67
  5. Step 5: Solve for x
    x = 8,632,404.67/3,634.72
  6. Step 6: Final answer
    x = 2,374.98

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