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Finding the Fourth Proportional to 6,517.98, 8,996.22 and 4,159.62

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Solution

The fourth proportional to 6,517.98, 8,996.22 and 4,159.62 is: 5,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.98 : 8,996.22 = 4,159.62 : x
  2. Step 2: Convert to fraction form
    6,517.98/8,996.22 = 4,159.62/x
  3. Step 3: Cross multiply
    6,517.98x = 8,996.22 × 4,159.62
  4. Step 4: Simplify right side
    6,517.98x = 37,420,856.64
  5. Step 5: Solve for x
    x = 37,420,856.64/6,517.98
  6. Step 6: Final answer
    x = 5,741.17

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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.