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Finding the Fourth Proportional to 3,794.72, 5,236.32 and 2,222.56

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Solution

The fourth proportional to 3,794.72, 5,236.32 and 2,222.56 is: 3,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.72 : 5,236.32 = 2,222.56 : x
  2. Step 2: Convert to fraction form
    3,794.72/5,236.32 = 2,222.56/x
  3. Step 3: Cross multiply
    3,794.72x = 5,236.32 × 2,222.56
  4. Step 4: Simplify right side
    3,794.72x = 11,638,035.38
  5. Step 5: Solve for x
    x = 11,638,035.38/3,794.72
  6. Step 6: Final answer
    x = 3,066.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.