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Finding the Fourth Proportional to 3,788.73, 5,226 and 2,446.05

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Solution

The fourth proportional to 3,788.73, 5,226 and 2,446.05 is: 3,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.73 : 5,226 = 2,446.05 : x
  2. Step 2: Convert to fraction form
    3,788.73/5,226 = 2,446.05/x
  3. Step 3: Cross multiply
    3,788.73x = 5,226 × 2,446.05
  4. Step 4: Simplify right side
    3,788.73x = 12,783,057.30
  5. Step 5: Solve for x
    x = 12,783,057.30/3,788.73
  6. Step 6: Final answer
    x = 3,373.97

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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.