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Finding the Fourth Proportional to 3,676.92, 5,508.96 and 3,064.56

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Solution

The fourth proportional to 3,676.92, 5,508.96 and 3,064.56 is: 4,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.92 : 5,508.96 = 3,064.56 : x
  2. Step 2: Convert to fraction form
    3,676.92/5,508.96 = 3,064.56/x
  3. Step 3: Cross multiply
    3,676.92x = 5,508.96 × 3,064.56
  4. Step 4: Simplify right side
    3,676.92x = 16,882,538.46
  5. Step 5: Solve for x
    x = 16,882,538.46/3,676.92
  6. Step 6: Final answer
    x = 4,591.49

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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.