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Finding the Fourth Proportional to 5,965.72, 8,233.16 and 3,313.80

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Solution

The fourth proportional to 5,965.72, 8,233.16 and 3,313.80 is: 4,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.72 : 8,233.16 = 3,313.80 : x
  2. Step 2: Convert to fraction form
    5,965.72/8,233.16 = 3,313.80/x
  3. Step 3: Cross multiply
    5,965.72x = 8,233.16 × 3,313.80
  4. Step 4: Simplify right side
    5,965.72x = 27,283,045.61
  5. Step 5: Solve for x
    x = 27,283,045.61/5,965.72
  6. Step 6: Final answer
    x = 4,573.30

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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.