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Finding the Fourth Proportional to 3,778.22, 5,663.23 and 1,584.38

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Solution

The fourth proportional to 3,778.22, 5,663.23 and 1,584.38 is: 2,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.22 : 5,663.23 = 1,584.38 : x
  2. Step 2: Convert to fraction form
    3,778.22/5,663.23 = 1,584.38/x
  3. Step 3: Cross multiply
    3,778.22x = 5,663.23 × 1,584.38
  4. Step 4: Simplify right side
    3,778.22x = 8,972,718.54
  5. Step 5: Solve for x
    x = 8,972,718.54/3,778.22
  6. Step 6: Final answer
    x = 2,374.85

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