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Finding the Fourth Proportional to 5,202.09, 7,178.90 and 3,212.19

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Solution

The fourth proportional to 5,202.09, 7,178.90 and 3,212.19 is: 4,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.09 : 7,178.90 = 3,212.19 : x
  2. Step 2: Convert to fraction form
    5,202.09/7,178.90 = 3,212.19/x
  3. Step 3: Cross multiply
    5,202.09x = 7,178.90 × 3,212.19
  4. Step 4: Simplify right side
    5,202.09x = 23,059,974.73
  5. Step 5: Solve for x
    x = 23,059,974.73/5,202.09
  6. Step 6: Final answer
    x = 4,432.83

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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.