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Finding the Fourth Proportional to 5,529.69, 7,638.43 and 4,418.42

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Solution

The fourth proportional to 5,529.69, 7,638.43 and 4,418.42 is: 6,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529.69 : 7,638.43 = 4,418.42 : x
  2. Step 2: Convert to fraction form
    5,529.69/7,638.43 = 4,418.42/x
  3. Step 3: Cross multiply
    5,529.69x = 7,638.43 × 4,418.42
  4. Step 4: Simplify right side
    5,529.69x = 33,749,753.69
  5. Step 5: Solve for x
    x = 33,749,753.69/5,529.69
  6. Step 6: Final answer
    x = 6,103.38

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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.