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Finding the Fourth Proportional to 5,739.78, 7,921.08 and 3,222.30

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Solution

The fourth proportional to 5,739.78, 7,921.08 and 3,222.30 is: 4,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.78 : 7,921.08 = 3,222.30 : x
  2. Step 2: Convert to fraction form
    5,739.78/7,921.08 = 3,222.30/x
  3. Step 3: Cross multiply
    5,739.78x = 7,921.08 × 3,222.30
  4. Step 4: Simplify right side
    5,739.78x = 25,524,096.08
  5. Step 5: Solve for x
    x = 25,524,096.08/5,739.78
  6. Step 6: Final answer
    x = 4,446.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.