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Finding the Fourth Proportional to 5,136.21, 7,667.15 and 4,513.42

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Solution

The fourth proportional to 5,136.21, 7,667.15 and 4,513.42 is: 6,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.21 : 7,667.15 = 4,513.42 : x
  2. Step 2: Convert to fraction form
    5,136.21/7,667.15 = 4,513.42/x
  3. Step 3: Cross multiply
    5,136.21x = 7,667.15 × 4,513.42
  4. Step 4: Simplify right side
    5,136.21x = 34,605,105.37
  5. Step 5: Solve for x
    x = 34,605,105.37/5,136.21
  6. Step 6: Final answer
    x = 6,737.49

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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.