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Finding the Fourth Proportional to 5,258.82, 7,882.77 and 2,140.98

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Solution

The fourth proportional to 5,258.82, 7,882.77 and 2,140.98 is: 3,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.82 : 7,882.77 = 2,140.98 : x
  2. Step 2: Convert to fraction form
    5,258.82/7,882.77 = 2,140.98/x
  3. Step 3: Cross multiply
    5,258.82x = 7,882.77 × 2,140.98
  4. Step 4: Simplify right side
    5,258.82x = 16,876,863.68
  5. Step 5: Solve for x
    x = 16,876,863.68/5,258.82
  6. Step 6: Final answer
    x = 3,209.25

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