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Finding the Fourth Proportional to 5,742.47, 7,924.11 and 3,224.18

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Solution

The fourth proportional to 5,742.47, 7,924.11 and 3,224.18 is: 4,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.47 : 7,924.11 = 3,224.18 : x
  2. Step 2: Convert to fraction form
    5,742.47/7,924.11 = 3,224.18/x
  3. Step 3: Cross multiply
    5,742.47x = 7,924.11 × 3,224.18
  4. Step 4: Simplify right side
    5,742.47x = 25,548,756.98
  5. Step 5: Solve for x
    x = 25,548,756.98/5,742.47
  6. Step 6: Final answer
    x = 4,449.09

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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.