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Finding the Fourth Proportional to 5,965.92, 8,233.17 and 3,313.37

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Solution

The fourth proportional to 5,965.92, 8,233.17 and 3,313.37 is: 4,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.92 : 8,233.17 = 3,313.37 : x
  2. Step 2: Convert to fraction form
    5,965.92/8,233.17 = 3,313.37/x
  3. Step 3: Cross multiply
    5,965.92x = 8,233.17 × 3,313.37
  4. Step 4: Simplify right side
    5,965.92x = 27,279,497.32
  5. Step 5: Solve for x
    x = 27,279,497.32/5,965.92
  6. Step 6: Final answer
    x = 4,572.56

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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.