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Finding the Fourth Proportional to 5,724.57, 8,588.99 and 1,829.28

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Solution

The fourth proportional to 5,724.57, 8,588.99 and 1,829.28 is: 2,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.57 : 8,588.99 = 1,829.28 : x
  2. Step 2: Convert to fraction form
    5,724.57/8,588.99 = 1,829.28/x
  3. Step 3: Cross multiply
    5,724.57x = 8,588.99 × 1,829.28
  4. Step 4: Simplify right side
    5,724.57x = 15,711,704.41
  5. Step 5: Solve for x
    x = 15,711,704.41/5,724.57
  6. Step 6: Final answer
    x = 2,744.61

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