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Finding the Fourth Proportional to 5,965.33, 8,232.17 and 3,313.23

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Solution

The fourth proportional to 5,965.33, 8,232.17 and 3,313.23 is: 4,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.33 : 8,232.17 = 3,313.23 : x
  2. Step 2: Convert to fraction form
    5,965.33/8,232.17 = 3,313.23/x
  3. Step 3: Cross multiply
    5,965.33x = 8,232.17 × 3,313.23
  4. Step 4: Simplify right side
    5,965.33x = 27,275,072.61
  5. Step 5: Solve for x
    x = 27,275,072.61/5,965.33
  6. Step 6: Final answer
    x = 4,572.27

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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.