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Finding the Fourth Proportional to 3,747.08, 5,171.60 and 3,581.00

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Solution

The fourth proportional to 3,747.08, 5,171.60 and 3,581.00 is: 4,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.08 : 5,171.60 = 3,581.00 : x
  2. Step 2: Convert to fraction form
    3,747.08/5,171.60 = 3,581.00/x
  3. Step 3: Cross multiply
    3,747.08x = 5,171.60 × 3,581.00
  4. Step 4: Simplify right side
    3,747.08x = 18,519,502.09
  5. Step 5: Solve for x
    x = 18,519,502.09/3,747.08
  6. Step 6: Final answer
    x = 4,942.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.