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Finding the Fourth Proportional to 5,966.63, 8,234.43 and 3,314.20

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Solution

The fourth proportional to 5,966.63, 8,234.43 and 3,314.20 is: 4,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.63 : 8,234.43 = 3,314.20 : x
  2. Step 2: Convert to fraction form
    5,966.63/8,234.43 = 3,314.20/x
  3. Step 3: Cross multiply
    5,966.63x = 8,234.43 × 3,314.20
  4. Step 4: Simplify right side
    5,966.63x = 27,290,506.73
  5. Step 5: Solve for x
    x = 27,290,506.73/5,966.63
  6. Step 6: Final answer
    x = 4,573.86

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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.