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Finding the Fourth Proportional to 5,536.48, 7,640.88 and 4,136.80

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Solution

The fourth proportional to 5,536.48, 7,640.88 and 4,136.80 is: 5,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.48 : 7,640.88 = 4,136.80 : x
  2. Step 2: Convert to fraction form
    5,536.48/7,640.88 = 4,136.80/x
  3. Step 3: Cross multiply
    5,536.48x = 7,640.88 × 4,136.80
  4. Step 4: Simplify right side
    5,536.48x = 31,608,792.38
  5. Step 5: Solve for x
    x = 31,608,792.38/5,536.48
  6. Step 6: Final answer
    x = 5,709.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.