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Finding the Fourth Proportional to 5,724.80, 8,575.68 and 5,340.80

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Solution

The fourth proportional to 5,724.80, 8,575.68 and 5,340.80 is: 8,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.80 : 8,575.68 = 5,340.80 : x
  2. Step 2: Convert to fraction form
    5,724.80/8,575.68 = 5,340.80/x
  3. Step 3: Cross multiply
    5,724.80x = 8,575.68 × 5,340.80
  4. Step 4: Simplify right side
    5,724.80x = 45,800,991.74
  5. Step 5: Solve for x
    x = 45,800,991.74/5,724.80
  6. Step 6: Final answer
    x = 8,000.45

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