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Finding the Fourth Proportional to 4,105.87, 6,149.53 and 2,458.94

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Solution

The fourth proportional to 4,105.87, 6,149.53 and 2,458.94 is: 3,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.87 : 6,149.53 = 2,458.94 : x
  2. Step 2: Convert to fraction form
    4,105.87/6,149.53 = 2,458.94/x
  3. Step 3: Cross multiply
    4,105.87x = 6,149.53 × 2,458.94
  4. Step 4: Simplify right side
    4,105.87x = 15,121,297.62
  5. Step 5: Solve for x
    x = 15,121,297.62/4,105.87
  6. Step 6: Final answer
    x = 3,682.85

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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.