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Finding the Fourth Proportional to 3,819.25, 5,270.45 and 2,226.25

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Solution

The fourth proportional to 3,819.25, 5,270.45 and 2,226.25 is: 3,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.25 : 5,270.45 = 2,226.25 : x
  2. Step 2: Convert to fraction form
    3,819.25/5,270.45 = 2,226.25/x
  3. Step 3: Cross multiply
    3,819.25x = 5,270.45 × 2,226.25
  4. Step 4: Simplify right side
    3,819.25x = 11,733,339.31
  5. Step 5: Solve for x
    x = 11,733,339.31/3,819.25
  6. Step 6: Final answer
    x = 3,072.16

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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.