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Finding the Fourth Proportional to 3,764.62, 5,645.39 and 1,298.78

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Solution

The fourth proportional to 3,764.62, 5,645.39 and 1,298.78 is: 1,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.62 : 5,645.39 = 1,298.78 : x
  2. Step 2: Convert to fraction form
    3,764.62/5,645.39 = 1,298.78/x
  3. Step 3: Cross multiply
    3,764.62x = 5,645.39 × 1,298.78
  4. Step 4: Simplify right side
    3,764.62x = 7,332,119.62
  5. Step 5: Solve for x
    x = 7,332,119.62/3,764.62
  6. Step 6: Final answer
    x = 1,947.64

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