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Finding the Fourth Proportional to 3,774.82, 5,209.88 and 2,202.92

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Solution

The fourth proportional to 3,774.82, 5,209.88 and 2,202.92 is: 3,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.82 : 5,209.88 = 2,202.92 : x
  2. Step 2: Convert to fraction form
    3,774.82/5,209.88 = 2,202.92/x
  3. Step 3: Cross multiply
    3,774.82x = 5,209.88 × 2,202.92
  4. Step 4: Simplify right side
    3,774.82x = 11,476,948.85
  5. Step 5: Solve for x
    x = 11,476,948.85/3,774.82
  6. Step 6: Final answer
    x = 3,040.40

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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.