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Finding the Fourth Proportional to 3,311.80, 4,967.70 and 1,583.80

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Solution

The fourth proportional to 3,311.80, 4,967.70 and 1,583.80 is: 2,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.80 : 4,967.70 = 1,583.80 : x
  2. Step 2: Convert to fraction form
    3,311.80/4,967.70 = 1,583.80/x
  3. Step 3: Cross multiply
    3,311.80x = 4,967.70 × 1,583.80
  4. Step 4: Simplify right side
    3,311.80x = 7,867,843.26
  5. Step 5: Solve for x
    x = 7,867,843.26/3,311.80
  6. Step 6: Final answer
    x = 2,375.70

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