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Finding the Fourth Proportional to 5,223.56, 7,198.10 and 3,727.26

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Solution

The fourth proportional to 5,223.56, 7,198.10 and 3,727.26 is: 5,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.56 : 7,198.10 = 3,727.26 : x
  2. Step 2: Convert to fraction form
    5,223.56/7,198.10 = 3,727.26/x
  3. Step 3: Cross multiply
    5,223.56x = 7,198.10 × 3,727.26
  4. Step 4: Simplify right side
    5,223.56x = 26,829,190.21
  5. Step 5: Solve for x
    x = 26,829,190.21/5,223.56
  6. Step 6: Final answer
    x = 5,136.19

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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.