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Finding the Fourth Proportional to 3,727.72, 5,150.08 and 3,174.09

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Solution

The fourth proportional to 3,727.72, 5,150.08 and 3,174.09 is: 4,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.72 : 5,150.08 = 3,174.09 : x
  2. Step 2: Convert to fraction form
    3,727.72/5,150.08 = 3,174.09/x
  3. Step 3: Cross multiply
    3,727.72x = 5,150.08 × 3,174.09
  4. Step 4: Simplify right side
    3,727.72x = 16,346,817.43
  5. Step 5: Solve for x
    x = 16,346,817.43/3,727.72
  6. Step 6: Final answer
    x = 4,385.21

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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.