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Finding the Fourth Proportional to 3,815.20, 5,714.70 and 3,167.20

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Solution

The fourth proportional to 3,815.20, 5,714.70 and 3,167.20 is: 4,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.20 : 5,714.70 = 3,167.20 : x
  2. Step 2: Convert to fraction form
    3,815.20/5,714.70 = 3,167.20/x
  3. Step 3: Cross multiply
    3,815.20x = 5,714.70 × 3,167.20
  4. Step 4: Simplify right side
    3,815.20x = 18,099,597.84
  5. Step 5: Solve for x
    x = 18,099,597.84/3,815.20
  6. Step 6: Final answer
    x = 4,744.08

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