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Finding the Fourth Proportional to 3,620.98, 4,996.78 and 2,049.09

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Solution

The fourth proportional to 3,620.98, 4,996.78 and 2,049.09 is: 2,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.98 : 4,996.78 = 2,049.09 : x
  2. Step 2: Convert to fraction form
    3,620.98/4,996.78 = 2,049.09/x
  3. Step 3: Cross multiply
    3,620.98x = 4,996.78 × 2,049.09
  4. Step 4: Simplify right side
    3,620.98x = 10,238,851.93
  5. Step 5: Solve for x
    x = 10,238,851.93/3,620.98
  6. Step 6: Final answer
    x = 2,827.65

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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.