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Finding the Fourth Proportional to 3,774.20, 5,209.02 and 2,202.30

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Solution

The fourth proportional to 3,774.20, 5,209.02 and 2,202.30 is: 3,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.20 : 5,209.02 = 2,202.30 : x
  2. Step 2: Convert to fraction form
    3,774.20/5,209.02 = 2,202.30/x
  3. Step 3: Cross multiply
    3,774.20x = 5,209.02 × 2,202.30
  4. Step 4: Simplify right side
    3,774.20x = 11,471,824.75
  5. Step 5: Solve for x
    x = 11,471,824.75/3,774.20
  6. Step 6: Final answer
    x = 3,039.54

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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.