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Finding the Fourth Proportional to 5,046.85, 7,568.12 and 1,584.37

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Solution

The fourth proportional to 5,046.85, 7,568.12 and 1,584.37 is: 2,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.85 : 7,568.12 = 1,584.37 : x
  2. Step 2: Convert to fraction form
    5,046.85/7,568.12 = 1,584.37/x
  3. Step 3: Cross multiply
    5,046.85x = 7,568.12 × 1,584.37
  4. Step 4: Simplify right side
    5,046.85x = 11,990,694.36
  5. Step 5: Solve for x
    x = 11,990,694.36/5,046.85
  6. Step 6: Final answer
    x = 2,375.88

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