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Finding the Fourth Proportional to 3,687.37, 5,536.59 and 3,172.97

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Solution

The fourth proportional to 3,687.37, 5,536.59 and 3,172.97 is: 4,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.37 : 5,536.59 = 3,172.97 : x
  2. Step 2: Convert to fraction form
    3,687.37/5,536.59 = 3,172.97/x
  3. Step 3: Cross multiply
    3,687.37x = 5,536.59 × 3,172.97
  4. Step 4: Simplify right side
    3,687.37x = 17,567,433.97
  5. Step 5: Solve for x
    x = 17,567,433.97/3,687.37
  6. Step 6: Final answer
    x = 4,764.22

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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.