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Finding the Fourth Proportional to 5,966.80, 8,233.92 and 3,314.12

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Solution

The fourth proportional to 5,966.80, 8,233.92 and 3,314.12 is: 4,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.80 : 8,233.92 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    5,966.80/8,233.92 = 3,314.12/x
  3. Step 3: Cross multiply
    5,966.80x = 8,233.92 × 3,314.12
  4. Step 4: Simplify right side
    5,966.80x = 27,288,157.78
  5. Step 5: Solve for x
    x = 27,288,157.78/5,966.80
  6. Step 6: Final answer
    x = 4,573.33

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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.