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Finding the Fourth Proportional to 5,638.15, 7,778.05 and 3,649.34

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Solution

The fourth proportional to 5,638.15, 7,778.05 and 3,649.34 is: 5,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.15 : 7,778.05 = 3,649.34 : x
  2. Step 2: Convert to fraction form
    5,638.15/7,778.05 = 3,649.34/x
  3. Step 3: Cross multiply
    5,638.15x = 7,778.05 × 3,649.34
  4. Step 4: Simplify right side
    5,638.15x = 28,384,759.31
  5. Step 5: Solve for x
    x = 28,384,759.31/5,638.15
  6. Step 6: Final answer
    x = 5,034.41

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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.