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Finding the Fourth Proportional to 5,136.27, 7,667.25 and 4,513.49

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Solution

The fourth proportional to 5,136.27, 7,667.25 and 4,513.49 is: 6,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.27 : 7,667.25 = 4,513.49 : x
  2. Step 2: Convert to fraction form
    5,136.27/7,667.25 = 4,513.49/x
  3. Step 3: Cross multiply
    5,136.27x = 7,667.25 × 4,513.49
  4. Step 4: Simplify right side
    5,136.27x = 34,605,995.30
  5. Step 5: Solve for x
    x = 34,605,995.30/5,136.27
  6. Step 6: Final answer
    x = 6,737.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.