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Finding the Fourth Proportional to 5,234.68, 7,226.04 and 3,743.20

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Solution

The fourth proportional to 5,234.68, 7,226.04 and 3,743.20 is: 5,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.68 : 7,226.04 = 3,743.20 : x
  2. Step 2: Convert to fraction form
    5,234.68/7,226.04 = 3,743.20/x
  3. Step 3: Cross multiply
    5,234.68x = 7,226.04 × 3,743.20
  4. Step 4: Simplify right side
    5,234.68x = 27,048,512.93
  5. Step 5: Solve for x
    x = 27,048,512.93/5,234.68
  6. Step 6: Final answer
    x = 5,167.18

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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.