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Finding the Fourth Proportional to 5,966.56, 8,233.51 and 3,313.80

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Solution

The fourth proportional to 5,966.56, 8,233.51 and 3,313.80 is: 4,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.56 : 8,233.51 = 3,313.80 : x
  2. Step 2: Convert to fraction form
    5,966.56/8,233.51 = 3,313.80/x
  3. Step 3: Cross multiply
    5,966.56x = 8,233.51 × 3,313.80
  4. Step 4: Simplify right side
    5,966.56x = 27,284,205.44
  5. Step 5: Solve for x
    x = 27,284,205.44/5,966.56
  6. Step 6: Final answer
    x = 4,572.85

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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.