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Finding the Fourth Proportional to 3,747.33, 5,171.64 and 2,069.10

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Solution

The fourth proportional to 3,747.33, 5,171.64 and 2,069.10 is: 2,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.33 : 5,171.64 = 2,069.10 : x
  2. Step 2: Convert to fraction form
    3,747.33/5,171.64 = 2,069.10/x
  3. Step 3: Cross multiply
    3,747.33x = 5,171.64 × 2,069.10
  4. Step 4: Simplify right side
    3,747.33x = 10,700,640.32
  5. Step 5: Solve for x
    x = 10,700,640.32/3,747.33
  6. Step 6: Final answer
    x = 2,855.54

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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.