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Finding the Fourth Proportional to 3,686.40, 5,523.84 and 1,949.76

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Solution

The fourth proportional to 3,686.40, 5,523.84 and 1,949.76 is: 2,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.40 : 5,523.84 = 1,949.76 : x
  2. Step 2: Convert to fraction form
    3,686.40/5,523.84 = 1,949.76/x
  3. Step 3: Cross multiply
    3,686.40x = 5,523.84 × 1,949.76
  4. Step 4: Simplify right side
    3,686.40x = 10,770,162.28
  5. Step 5: Solve for x
    x = 10,770,162.28/3,686.40
  6. Step 6: Final answer
    x = 2,921.59

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