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Finding the Fourth Proportional to 3,884.42, 5,823.93 and 2,005.76

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Solution

The fourth proportional to 3,884.42, 5,823.93 and 2,005.76 is: 3,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.42 : 5,823.93 = 2,005.76 : x
  2. Step 2: Convert to fraction form
    3,884.42/5,823.93 = 2,005.76/x
  3. Step 3: Cross multiply
    3,884.42x = 5,823.93 × 2,005.76
  4. Step 4: Simplify right side
    3,884.42x = 11,681,405.84
  5. Step 5: Solve for x
    x = 11,681,405.84/3,884.42
  6. Step 6: Final answer
    x = 3,007.25

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