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Finding the Fourth Proportional to 3,842.88, 5,764.06 and 1,377.56

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Solution

The fourth proportional to 3,842.88, 5,764.06 and 1,377.56 is: 2,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.88 : 5,764.06 = 1,377.56 : x
  2. Step 2: Convert to fraction form
    3,842.88/5,764.06 = 1,377.56/x
  3. Step 3: Cross multiply
    3,842.88x = 5,764.06 × 1,377.56
  4. Step 4: Simplify right side
    3,842.88x = 7,940,338.49
  5. Step 5: Solve for x
    x = 7,940,338.49/3,842.88
  6. Step 6: Final answer
    x = 2,066.25

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