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Finding the Fourth Proportional to 5,267.28, 7,900.92 and 3,709.14

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Solution

The fourth proportional to 5,267.28, 7,900.92 and 3,709.14 is: 5,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.28 : 7,900.92 = 3,709.14 : x
  2. Step 2: Convert to fraction form
    5,267.28/7,900.92 = 3,709.14/x
  3. Step 3: Cross multiply
    5,267.28x = 7,900.92 × 3,709.14
  4. Step 4: Simplify right side
    5,267.28x = 29,305,618.41
  5. Step 5: Solve for x
    x = 29,305,618.41/5,267.28
  6. Step 6: Final answer
    x = 5,563.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.