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Finding the Fourth Proportional to 5,476.17, 8,194.80 and 3,997.11

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Solution

The fourth proportional to 5,476.17, 8,194.80 and 3,997.11 is: 5,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.17 : 8,194.80 = 3,997.11 : x
  2. Step 2: Convert to fraction form
    5,476.17/8,194.80 = 3,997.11/x
  3. Step 3: Cross multiply
    5,476.17x = 8,194.80 × 3,997.11
  4. Step 4: Simplify right side
    5,476.17x = 32,755,517.03
  5. Step 5: Solve for x
    x = 32,755,517.03/5,476.17
  6. Step 6: Final answer
    x = 5,981.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.