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Finding the Fourth Proportional to 4,676.28, 6,452.10 and 3,790.44

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Solution

The fourth proportional to 4,676.28, 6,452.10 and 3,790.44 is: 5,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.28 : 6,452.10 = 3,790.44 : x
  2. Step 2: Convert to fraction form
    4,676.28/6,452.10 = 3,790.44/x
  3. Step 3: Cross multiply
    4,676.28x = 6,452.10 × 3,790.44
  4. Step 4: Simplify right side
    4,676.28x = 24,456,297.92
  5. Step 5: Solve for x
    x = 24,456,297.92/4,676.28
  6. Step 6: Final answer
    x = 5,229.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.