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Finding the Fourth Proportional to 5,965.70, 8,232.50 and 3,313.04

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Solution

The fourth proportional to 5,965.70, 8,232.50 and 3,313.04 is: 4,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.70 : 8,232.50 = 3,313.04 : x
  2. Step 2: Convert to fraction form
    5,965.70/8,232.50 = 3,313.04/x
  3. Step 3: Cross multiply
    5,965.70x = 8,232.50 × 3,313.04
  4. Step 4: Simplify right side
    5,965.70x = 27,274,568.92
  5. Step 5: Solve for x
    x = 27,274,568.92/5,965.70
  6. Step 6: Final answer
    x = 4,571.90

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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.