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Finding the Fourth Proportional to 3,814.96, 5,721 and 1,967.08

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Solution

The fourth proportional to 3,814.96, 5,721 and 1,967.08 is: 2,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.96 : 5,721 = 1,967.08 : x
  2. Step 2: Convert to fraction form
    3,814.96/5,721 = 1,967.08/x
  3. Step 3: Cross multiply
    3,814.96x = 5,721 × 1,967.08
  4. Step 4: Simplify right side
    3,814.96x = 11,253,664.68
  5. Step 5: Solve for x
    x = 11,253,664.68/3,814.96
  6. Step 6: Final answer
    x = 2,949.88

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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.