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Finding the Fourth Proportional to 3,774.12, 5,208.62 and 2,202.72

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Solution

The fourth proportional to 3,774.12, 5,208.62 and 2,202.72 is: 3,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.12 : 5,208.62 = 2,202.72 : x
  2. Step 2: Convert to fraction form
    3,774.12/5,208.62 = 2,202.72/x
  3. Step 3: Cross multiply
    3,774.12x = 5,208.62 × 2,202.72
  4. Step 4: Simplify right side
    3,774.12x = 11,473,120.43
  5. Step 5: Solve for x
    x = 11,473,120.43/3,774.12
  6. Step 6: Final answer
    x = 3,039.95

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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.