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Finding the Fourth Proportional to 3,802.11, 5,245.43 and 2,208.49

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Solution

The fourth proportional to 3,802.11, 5,245.43 and 2,208.49 is: 3,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.11 : 5,245.43 = 2,208.49 : x
  2. Step 2: Convert to fraction form
    3,802.11/5,245.43 = 2,208.49/x
  3. Step 3: Cross multiply
    3,802.11x = 5,245.43 × 2,208.49
  4. Step 4: Simplify right side
    3,802.11x = 11,584,455.54
  5. Step 5: Solve for x
    x = 11,584,455.54/3,802.11
  6. Step 6: Final answer
    x = 3,046.85

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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.