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Finding the Fourth Proportional to 3,446.24, 5,169.33 and 981.09

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Solution

The fourth proportional to 3,446.24, 5,169.33 and 981.09 is: 1,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.24 : 5,169.33 = 981.09 : x
  2. Step 2: Convert to fraction form
    3,446.24/5,169.33 = 981.09/x
  3. Step 3: Cross multiply
    3,446.24x = 5,169.33 × 981.09
  4. Step 4: Simplify right side
    3,446.24x = 5,071,577.97
  5. Step 5: Solve for x
    x = 5,071,577.97/3,446.24
  6. Step 6: Final answer
    x = 1,471.63

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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.