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Finding the Fourth Proportional to 5,171.67, 7,757.96 and 1,473.81

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Solution

The fourth proportional to 5,171.67, 7,757.96 and 1,473.81 is: 2,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.67 : 7,757.96 = 1,473.81 : x
  2. Step 2: Convert to fraction form
    5,171.67/7,757.96 = 1,473.81/x
  3. Step 3: Cross multiply
    5,171.67x = 7,757.96 × 1,473.81
  4. Step 4: Simplify right side
    5,171.67x = 11,433,771.05
  5. Step 5: Solve for x
    x = 11,433,771.05/5,171.67
  6. Step 6: Final answer
    x = 2,210.85

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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.