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Finding the Fourth Proportional to 3,761.92, 5,633.63 and 2,588.62

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Solution

The fourth proportional to 3,761.92, 5,633.63 and 2,588.62 is: 3,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.92 : 5,633.63 = 2,588.62 : x
  2. Step 2: Convert to fraction form
    3,761.92/5,633.63 = 2,588.62/x
  3. Step 3: Cross multiply
    3,761.92x = 5,633.63 × 2,588.62
  4. Step 4: Simplify right side
    3,761.92x = 14,583,327.29
  5. Step 5: Solve for x
    x = 14,583,327.29/3,761.92
  6. Step 6: Final answer
    x = 3,876.56

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