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Finding the Fourth Proportional to 3,733.20, 5,599.80 and 1,540.80

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Solution

The fourth proportional to 3,733.20, 5,599.80 and 1,540.80 is: 2,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.20 : 5,599.80 = 1,540.80 : x
  2. Step 2: Convert to fraction form
    3,733.20/5,599.80 = 1,540.80/x
  3. Step 3: Cross multiply
    3,733.20x = 5,599.80 × 1,540.80
  4. Step 4: Simplify right side
    3,733.20x = 8,628,171.84
  5. Step 5: Solve for x
    x = 8,628,171.84/3,733.20
  6. Step 6: Final answer
    x = 2,311.20

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