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Finding the Fourth Proportional to 3,764.24, 5,631.96 and 2,278

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Solution

The fourth proportional to 3,764.24, 5,631.96 and 2,278 is: 3,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.24 : 5,631.96 = 2,278 : x
  2. Step 2: Convert to fraction form
    3,764.24/5,631.96 = 2,278/x
  3. Step 3: Cross multiply
    3,764.24x = 5,631.96 × 2,278
  4. Step 4: Simplify right side
    3,764.24x = 12,829,604.88
  5. Step 5: Solve for x
    x = 12,829,604.88/3,764.24
  6. Step 6: Final answer
    x = 3,408.29

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