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Finding the Fourth Proportional to 3,853.35, 5,784.99 and 2,005.74

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Solution

The fourth proportional to 3,853.35, 5,784.99 and 2,005.74 is: 3,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.35 : 5,784.99 = 2,005.74 : x
  2. Step 2: Convert to fraction form
    3,853.35/5,784.99 = 2,005.74/x
  3. Step 3: Cross multiply
    3,853.35x = 5,784.99 × 2,005.74
  4. Step 4: Simplify right side
    3,853.35x = 11,603,185.84
  5. Step 5: Solve for x
    x = 11,603,185.84/3,853.35
  6. Step 6: Final answer
    x = 3,011.19

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