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Finding the Fourth Proportional to 4,822, 7,234.12 and 2,481.12

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Solution

The fourth proportional to 4,822, 7,234.12 and 2,481.12 is: 3,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822 : 7,234.12 = 2,481.12 : x
  2. Step 2: Convert to fraction form
    4,822/7,234.12 = 2,481.12/x
  3. Step 3: Cross multiply
    4,822x = 7,234.12 × 2,481.12
  4. Step 4: Simplify right side
    4,822x = 17,948,719.81
  5. Step 5: Solve for x
    x = 17,948,719.81/4,822
  6. Step 6: Final answer
    x = 3,722.26

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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.