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Finding the Fourth Proportional to 6,517.29, 8,990.82 and 4,157.94

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Solution

The fourth proportional to 6,517.29, 8,990.82 and 4,157.94 is: 5,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.29 : 8,990.82 = 4,157.94 : x
  2. Step 2: Convert to fraction form
    6,517.29/8,990.82 = 4,157.94/x
  3. Step 3: Cross multiply
    6,517.29x = 8,990.82 × 4,157.94
  4. Step 4: Simplify right side
    6,517.29x = 37,383,290.11
  5. Step 5: Solve for x
    x = 37,383,290.11/6,517.29
  6. Step 6: Final answer
    x = 5,736.02

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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.