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Finding the Fourth Proportional to 5,210.52, 7,832.71 and 4,181.79

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Solution

The fourth proportional to 5,210.52, 7,832.71 and 4,181.79 is: 6,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.52 : 7,832.71 = 4,181.79 : x
  2. Step 2: Convert to fraction form
    5,210.52/7,832.71 = 4,181.79/x
  3. Step 3: Cross multiply
    5,210.52x = 7,832.71 × 4,181.79
  4. Step 4: Simplify right side
    5,210.52x = 32,754,748.35
  5. Step 5: Solve for x
    x = 32,754,748.35/5,210.52
  6. Step 6: Final answer
    x = 6,286.27

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