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Finding the Fourth Proportional to 3,920.16, 5,872.00 and 3,182.25

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Solution

The fourth proportional to 3,920.16, 5,872.00 and 3,182.25 is: 4,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.16 : 5,872.00 = 3,182.25 : x
  2. Step 2: Convert to fraction form
    3,920.16/5,872.00 = 3,182.25/x
  3. Step 3: Cross multiply
    3,920.16x = 5,872.00 × 3,182.25
  4. Step 4: Simplify right side
    3,920.16x = 18,686,156.09
  5. Step 5: Solve for x
    x = 18,686,156.09/3,920.16
  6. Step 6: Final answer
    x = 4,766.68

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