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Finding the Fourth Proportional to 3,146.23, 4,717.99 and 1,584.28

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Solution

The fourth proportional to 3,146.23, 4,717.99 and 1,584.28 is: 2,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.23 : 4,717.99 = 1,584.28 : x
  2. Step 2: Convert to fraction form
    3,146.23/4,717.99 = 1,584.28/x
  3. Step 3: Cross multiply
    3,146.23x = 4,717.99 × 1,584.28
  4. Step 4: Simplify right side
    3,146.23x = 7,474,617.20
  5. Step 5: Solve for x
    x = 7,474,617.20/3,146.23
  6. Step 6: Final answer
    x = 2,375.74

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