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Finding the Fourth Proportional to 5,742.15, 7,924.31 and 3,224.44

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Solution

The fourth proportional to 5,742.15, 7,924.31 and 3,224.44 is: 4,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.15 : 7,924.31 = 3,224.44 : x
  2. Step 2: Convert to fraction form
    5,742.15/7,924.31 = 3,224.44/x
  3. Step 3: Cross multiply
    5,742.15x = 7,924.31 × 3,224.44
  4. Step 4: Simplify right side
    5,742.15x = 25,551,462.14
  5. Step 5: Solve for x
    x = 25,551,462.14/5,742.15
  6. Step 6: Final answer
    x = 4,449.81

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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.