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Finding the Fourth Proportional to 3,682.67, 5,516.49 and 3,064.39

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Solution

The fourth proportional to 3,682.67, 5,516.49 and 3,064.39 is: 4,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.67 : 5,516.49 = 3,064.39 : x
  2. Step 2: Convert to fraction form
    3,682.67/5,516.49 = 3,064.39/x
  3. Step 3: Cross multiply
    3,682.67x = 5,516.49 × 3,064.39
  4. Step 4: Simplify right side
    3,682.67x = 16,904,676.79
  5. Step 5: Solve for x
    x = 16,904,676.79/3,682.67
  6. Step 6: Final answer
    x = 4,590.33

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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.