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Finding the Fourth Proportional to 3,747.65, 5,171.72 and 2,069.05

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Solution

The fourth proportional to 3,747.65, 5,171.72 and 2,069.05 is: 2,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.65 : 5,171.72 = 2,069.05 : x
  2. Step 2: Convert to fraction form
    3,747.65/5,171.72 = 2,069.05/x
  3. Step 3: Cross multiply
    3,747.65x = 5,171.72 × 2,069.05
  4. Step 4: Simplify right side
    3,747.65x = 10,700,523.99
  5. Step 5: Solve for x
    x = 10,700,523.99/3,747.65
  6. Step 6: Final answer
    x = 2,855.27

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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.