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Finding the Fourth Proportional to 3,726.28, 5,584.56 and 1,532.80

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Solution

The fourth proportional to 3,726.28, 5,584.56 and 1,532.80 is: 2,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.28 : 5,584.56 = 1,532.80 : x
  2. Step 2: Convert to fraction form
    3,726.28/5,584.56 = 1,532.80/x
  3. Step 3: Cross multiply
    3,726.28x = 5,584.56 × 1,532.80
  4. Step 4: Simplify right side
    3,726.28x = 8,560,013.57
  5. Step 5: Solve for x
    x = 8,560,013.57/3,726.28
  6. Step 6: Final answer
    x = 2,297.20

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