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Finding the Fourth Proportional to 3,676.48, 5,524.32 and 3,443.20

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Solution

The fourth proportional to 3,676.48, 5,524.32 and 3,443.20 is: 5,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.48 : 5,524.32 = 3,443.20 : x
  2. Step 2: Convert to fraction form
    3,676.48/5,524.32 = 3,443.20/x
  3. Step 3: Cross multiply
    3,676.48x = 5,524.32 × 3,443.20
  4. Step 4: Simplify right side
    3,676.48x = 19,021,338.62
  5. Step 5: Solve for x
    x = 19,021,338.62/3,676.48
  6. Step 6: Final answer
    x = 5,173.79

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