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Finding the Fourth Proportional to 3,853.81, 5,782.56 and 2,098.77

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Solution

The fourth proportional to 3,853.81, 5,782.56 and 2,098.77 is: 3,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.81 : 5,782.56 = 2,098.77 : x
  2. Step 2: Convert to fraction form
    3,853.81/5,782.56 = 2,098.77/x
  3. Step 3: Cross multiply
    3,853.81x = 5,782.56 × 2,098.77
  4. Step 4: Simplify right side
    3,853.81x = 12,136,263.45
  5. Step 5: Solve for x
    x = 12,136,263.45/3,853.81
  6. Step 6: Final answer
    x = 3,149.16

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