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Finding the Fourth Proportional to 5,282.44, 7,923.64 and 1,584.54

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Solution

The fourth proportional to 5,282.44, 7,923.64 and 1,584.54 is: 2,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.44 : 7,923.64 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    5,282.44/7,923.64 = 1,584.54/x
  3. Step 3: Cross multiply
    5,282.44x = 7,923.64 × 1,584.54
  4. Step 4: Simplify right side
    5,282.44x = 12,555,324.53
  5. Step 5: Solve for x
    x = 12,555,324.53/5,282.44
  6. Step 6: Final answer
    x = 2,376.80

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