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Finding the Fourth Proportional to 5,460.81, 8,191.22 and 1,996.17

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Solution

The fourth proportional to 5,460.81, 8,191.22 and 1,996.17 is: 2,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.81 : 8,191.22 = 1,996.17 : x
  2. Step 2: Convert to fraction form
    5,460.81/8,191.22 = 1,996.17/x
  3. Step 3: Cross multiply
    5,460.81x = 8,191.22 × 1,996.17
  4. Step 4: Simplify right side
    5,460.81x = 16,351,057.65
  5. Step 5: Solve for x
    x = 16,351,057.65/5,460.81
  6. Step 6: Final answer
    x = 2,994.26

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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.