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Finding the Fourth Proportional to 5,964.31, 8,231.01 and 3,311.72

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Solution

The fourth proportional to 5,964.31, 8,231.01 and 3,311.72 is: 4,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.31 : 8,231.01 = 3,311.72 : x
  2. Step 2: Convert to fraction form
    5,964.31/8,231.01 = 3,311.72/x
  3. Step 3: Cross multiply
    5,964.31x = 8,231.01 × 3,311.72
  4. Step 4: Simplify right side
    5,964.31x = 27,258,783.88
  5. Step 5: Solve for x
    x = 27,258,783.88/5,964.31
  6. Step 6: Final answer
    x = 4,570.32

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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.