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Finding the Fourth Proportional to 3,774.85, 5,209.28 and 2,202.94

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Solution

The fourth proportional to 3,774.85, 5,209.28 and 2,202.94 is: 3,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.85 : 5,209.28 = 2,202.94 : x
  2. Step 2: Convert to fraction form
    3,774.85/5,209.28 = 2,202.94/x
  3. Step 3: Cross multiply
    3,774.85x = 5,209.28 × 2,202.94
  4. Step 4: Simplify right side
    3,774.85x = 11,475,723.77
  5. Step 5: Solve for x
    x = 11,475,723.77/3,774.85
  6. Step 6: Final answer
    x = 3,040.05

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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.