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Finding the Fourth Proportional to 3,773.73, 5,664.69 and 3,191.44

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Solution

The fourth proportional to 3,773.73, 5,664.69 and 3,191.44 is: 4,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.73 : 5,664.69 = 3,191.44 : x
  2. Step 2: Convert to fraction form
    3,773.73/5,664.69 = 3,191.44/x
  3. Step 3: Cross multiply
    3,773.73x = 5,664.69 × 3,191.44
  4. Step 4: Simplify right side
    3,773.73x = 18,078,489.81
  5. Step 5: Solve for x
    x = 18,078,489.81/3,773.73
  6. Step 6: Final answer
    x = 4,790.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.