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Finding the Fourth Proportional to 3,438.65, 5,149.59 and 3,105.86

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Solution

The fourth proportional to 3,438.65, 5,149.59 and 3,105.86 is: 4,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.65 : 5,149.59 = 3,105.86 : x
  2. Step 2: Convert to fraction form
    3,438.65/5,149.59 = 3,105.86/x
  3. Step 3: Cross multiply
    3,438.65x = 5,149.59 × 3,105.86
  4. Step 4: Simplify right side
    3,438.65x = 15,993,914.64
  5. Step 5: Solve for x
    x = 15,993,914.64/3,438.65
  6. Step 6: Final answer
    x = 4,651.22

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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.