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Finding the Fourth Proportional to 5,965.92, 8,232.57 and 3,313.17

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Solution

The fourth proportional to 5,965.92, 8,232.57 and 3,313.17 is: 4,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.92 : 8,232.57 = 3,313.17 : x
  2. Step 2: Convert to fraction form
    5,965.92/8,232.57 = 3,313.17/x
  3. Step 3: Cross multiply
    5,965.92x = 8,232.57 × 3,313.17
  4. Step 4: Simplify right side
    5,965.92x = 27,275,903.95
  5. Step 5: Solve for x
    x = 27,275,903.95/5,965.92
  6. Step 6: Final answer
    x = 4,571.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.