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Finding the Fourth Proportional to 4,115.62, 6,171.81 and 1,805.50

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Solution

The fourth proportional to 4,115.62, 6,171.81 and 1,805.50 is: 2,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.62 : 6,171.81 = 1,805.50 : x
  2. Step 2: Convert to fraction form
    4,115.62/6,171.81 = 1,805.50/x
  3. Step 3: Cross multiply
    4,115.62x = 6,171.81 × 1,805.50
  4. Step 4: Simplify right side
    4,115.62x = 11,143,202.96
  5. Step 5: Solve for x
    x = 11,143,202.96/4,115.62
  6. Step 6: Final answer
    x = 2,707.54

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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.