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Finding the Fourth Proportional to 5,965.22, 8,231.95 and 3,276.56

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Solution

The fourth proportional to 5,965.22, 8,231.95 and 3,276.56 is: 4,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.22 : 8,231.95 = 3,276.56 : x
  2. Step 2: Convert to fraction form
    5,965.22/8,231.95 = 3,276.56/x
  3. Step 3: Cross multiply
    5,965.22x = 8,231.95 × 3,276.56
  4. Step 4: Simplify right side
    5,965.22x = 26,972,478.09
  5. Step 5: Solve for x
    x = 26,972,478.09/5,965.22
  6. Step 6: Final answer
    x = 4,521.62

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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.