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Finding the Fourth Proportional to 3,765.42, 5,648.22 and 3,672.54

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Solution

The fourth proportional to 3,765.42, 5,648.22 and 3,672.54 is: 5,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.42 : 5,648.22 = 3,672.54 : x
  2. Step 2: Convert to fraction form
    3,765.42/5,648.22 = 3,672.54/x
  3. Step 3: Cross multiply
    3,765.42x = 5,648.22 × 3,672.54
  4. Step 4: Simplify right side
    3,765.42x = 20,743,313.88
  5. Step 5: Solve for x
    x = 20,743,313.88/3,765.42
  6. Step 6: Final answer
    x = 5,508.90

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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.