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Finding the Fourth Proportional to 3,774.33, 5,209.20 and 2,202.42

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Solution

The fourth proportional to 3,774.33, 5,209.20 and 2,202.42 is: 3,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.33 : 5,209.20 = 2,202.42 : x
  2. Step 2: Convert to fraction form
    3,774.33/5,209.20 = 2,202.42/x
  3. Step 3: Cross multiply
    3,774.33x = 5,209.20 × 2,202.42
  4. Step 4: Simplify right side
    3,774.33x = 11,472,835.25
  5. Step 5: Solve for x
    x = 11,472,835.25/3,774.33
  6. Step 6: Final answer
    x = 3,039.70

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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.