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Finding the Fourth Proportional to 3,769.80, 5,653.99 and 1,577.94

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Solution

The fourth proportional to 3,769.80, 5,653.99 and 1,577.94 is: 2,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.80 : 5,653.99 = 1,577.94 : x
  2. Step 2: Convert to fraction form
    3,769.80/5,653.99 = 1,577.94/x
  3. Step 3: Cross multiply
    3,769.80x = 5,653.99 × 1,577.94
  4. Step 4: Simplify right side
    3,769.80x = 8,921,656.98
  5. Step 5: Solve for x
    x = 8,921,656.98/3,769.80
  6. Step 6: Final answer
    x = 2,366.61

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