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Finding the Fourth Proportional to 3,885.92, 5,827.62 and 1,288.25

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Solution

The fourth proportional to 3,885.92, 5,827.62 and 1,288.25 is: 1,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.92 : 5,827.62 = 1,288.25 : x
  2. Step 2: Convert to fraction form
    3,885.92/5,827.62 = 1,288.25/x
  3. Step 3: Cross multiply
    3,885.92x = 5,827.62 × 1,288.25
  4. Step 4: Simplify right side
    3,885.92x = 7,507,431.47
  5. Step 5: Solve for x
    x = 7,507,431.47/3,885.92
  6. Step 6: Final answer
    x = 1,931.96

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