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Finding the Fourth Proportional to 4,776.67, 7,163.62 and 2,003.27

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Solution

The fourth proportional to 4,776.67, 7,163.62 and 2,003.27 is: 3,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.67 : 7,163.62 = 2,003.27 : x
  2. Step 2: Convert to fraction form
    4,776.67/7,163.62 = 2,003.27/x
  3. Step 3: Cross multiply
    4,776.67x = 7,163.62 × 2,003.27
  4. Step 4: Simplify right side
    4,776.67x = 14,350,665.04
  5. Step 5: Solve for x
    x = 14,350,665.04/4,776.67
  6. Step 6: Final answer
    x = 3,004.32

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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.