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Finding the Fourth Proportional to 5,966.80, 8,233.22 and 3,314.14

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Solution

The fourth proportional to 5,966.80, 8,233.22 and 3,314.14 is: 4,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.80 : 8,233.22 = 3,314.14 : x
  2. Step 2: Convert to fraction form
    5,966.80/8,233.22 = 3,314.14/x
  3. Step 3: Cross multiply
    5,966.80x = 8,233.22 × 3,314.14
  4. Step 4: Simplify right side
    5,966.80x = 27,286,043.73
  5. Step 5: Solve for x
    x = 27,286,043.73/5,966.80
  6. Step 6: Final answer
    x = 4,572.98

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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.