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Finding the Fourth Proportional to 4,072.89, 5,620.56 and 2,209.89

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Solution

The fourth proportional to 4,072.89, 5,620.56 and 2,209.89 is: 3,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.89 : 5,620.56 = 2,209.89 : x
  2. Step 2: Convert to fraction form
    4,072.89/5,620.56 = 2,209.89/x
  3. Step 3: Cross multiply
    4,072.89x = 5,620.56 × 2,209.89
  4. Step 4: Simplify right side
    4,072.89x = 12,420,819.34
  5. Step 5: Solve for x
    x = 12,420,819.34/4,072.89
  6. Step 6: Final answer
    x = 3,049.63

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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.