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Finding the Fourth Proportional to 5,171.62, 7,756.50 and 2,211.73

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Solution

The fourth proportional to 5,171.62, 7,756.50 and 2,211.73 is: 3,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.62 : 7,756.50 = 2,211.73 : x
  2. Step 2: Convert to fraction form
    5,171.62/7,756.50 = 2,211.73/x
  3. Step 3: Cross multiply
    5,171.62x = 7,756.50 × 2,211.73
  4. Step 4: Simplify right side
    5,171.62x = 17,155,305.37
  5. Step 5: Solve for x
    x = 17,155,305.37/5,171.62
  6. Step 6: Final answer
    x = 3,317.20

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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.