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Finding the Fourth Proportional to 3,881.26, 5,822.22 and 3,424.42

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Solution

The fourth proportional to 3,881.26, 5,822.22 and 3,424.42 is: 5,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.26 : 5,822.22 = 3,424.42 : x
  2. Step 2: Convert to fraction form
    3,881.26/5,822.22 = 3,424.42/x
  3. Step 3: Cross multiply
    3,881.26x = 5,822.22 × 3,424.42
  4. Step 4: Simplify right side
    3,881.26x = 19,937,726.61
  5. Step 5: Solve for x
    x = 19,937,726.61/3,881.26
  6. Step 6: Final answer
    x = 5,136.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.