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Finding the Fourth Proportional to 5,965.89, 8,233.16 and 3,313.50

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Solution

The fourth proportional to 5,965.89, 8,233.16 and 3,313.50 is: 4,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.89 : 8,233.16 = 3,313.50 : x
  2. Step 2: Convert to fraction form
    5,965.89/8,233.16 = 3,313.50/x
  3. Step 3: Cross multiply
    5,965.89x = 8,233.16 × 3,313.50
  4. Step 4: Simplify right side
    5,965.89x = 27,280,575.66
  5. Step 5: Solve for x
    x = 27,280,575.66/5,965.89
  6. Step 6: Final answer
    x = 4,572.76

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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.