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Finding the Fourth Proportional to 3,774, 5,208.72 and 2,202.96

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Solution

The fourth proportional to 3,774, 5,208.72 and 2,202.96 is: 3,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774 : 5,208.72 = 2,202.96 : x
  2. Step 2: Convert to fraction form
    3,774/5,208.72 = 2,202.96/x
  3. Step 3: Cross multiply
    3,774x = 5,208.72 × 2,202.96
  4. Step 4: Simplify right side
    3,774x = 11,474,601.81
  5. Step 5: Solve for x
    x = 11,474,601.81/3,774
  6. Step 6: Final answer
    x = 3,040.44

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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.