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Finding the Fourth Proportional to 3,853.61, 5,777.99 and 1,661.21

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Solution

The fourth proportional to 3,853.61, 5,777.99 and 1,661.21 is: 2,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.61 : 5,777.99 = 1,661.21 : x
  2. Step 2: Convert to fraction form
    3,853.61/5,777.99 = 1,661.21/x
  3. Step 3: Cross multiply
    3,853.61x = 5,777.99 × 1,661.21
  4. Step 4: Simplify right side
    3,853.61x = 9,598,446.46
  5. Step 5: Solve for x
    x = 9,598,446.46/3,853.61
  6. Step 6: Final answer
    x = 2,490.77

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