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Finding the Fourth Proportional to 4,072.94, 5,620.65 and 2,209.94

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Solution

The fourth proportional to 4,072.94, 5,620.65 and 2,209.94 is: 3,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.94 : 5,620.65 = 2,209.94 : x
  2. Step 2: Convert to fraction form
    4,072.94/5,620.65 = 2,209.94/x
  3. Step 3: Cross multiply
    4,072.94x = 5,620.65 × 2,209.94
  4. Step 4: Simplify right side
    4,072.94x = 12,421,299.26
  5. Step 5: Solve for x
    x = 12,421,299.26/4,072.94
  6. Step 6: Final answer
    x = 3,049.71

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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.