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Finding the Fourth Proportional to 5,966.20, 8,233 and 3,313.45

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Solution

The fourth proportional to 5,966.20, 8,233 and 3,313.45 is: 4,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.20 : 8,233 = 3,313.45 : x
  2. Step 2: Convert to fraction form
    5,966.20/8,233 = 3,313.45/x
  3. Step 3: Cross multiply
    5,966.20x = 8,233 × 3,313.45
  4. Step 4: Simplify right side
    5,966.20x = 27,279,633.85
  5. Step 5: Solve for x
    x = 27,279,633.85/5,966.20
  6. Step 6: Final answer
    x = 4,572.36

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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.