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Finding the Fourth Proportional to 5,966.85, 8,234.13 and 3,314.20

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Solution

The fourth proportional to 5,966.85, 8,234.13 and 3,314.20 is: 4,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.85 : 8,234.13 = 3,314.20 : x
  2. Step 2: Convert to fraction form
    5,966.85/8,234.13 = 3,314.20/x
  3. Step 3: Cross multiply
    5,966.85x = 8,234.13 × 3,314.20
  4. Step 4: Simplify right side
    5,966.85x = 27,289,553.65
  5. Step 5: Solve for x
    x = 27,289,553.65/5,966.85
  6. Step 6: Final answer
    x = 4,573.53

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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.