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Finding the Fourth Proportional to 3,749.50, 5,136.75 and 3,609.28

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Solution

The fourth proportional to 3,749.50, 5,136.75 and 3,609.28 is: 4,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.50 : 5,136.75 = 3,609.28 : x
  2. Step 2: Convert to fraction form
    3,749.50/5,136.75 = 3,609.28/x
  3. Step 3: Cross multiply
    3,749.50x = 5,136.75 × 3,609.28
  4. Step 4: Simplify right side
    3,749.50x = 18,539,969.04
  5. Step 5: Solve for x
    x = 18,539,969.04/3,749.50
  6. Step 6: Final answer
    x = 4,944.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.