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Finding the Fourth Proportional to 5,742.13, 7,924.29 and 3,224.44

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Solution

The fourth proportional to 5,742.13, 7,924.29 and 3,224.44 is: 4,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.13 : 7,924.29 = 3,224.44 : x
  2. Step 2: Convert to fraction form
    5,742.13/7,924.29 = 3,224.44/x
  3. Step 3: Cross multiply
    5,742.13x = 7,924.29 × 3,224.44
  4. Step 4: Simplify right side
    5,742.13x = 25,551,397.65
  5. Step 5: Solve for x
    x = 25,551,397.65/5,742.13
  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.