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Finding the Fourth Proportional to 4,666.89, 6,997.23 and 3,186.57

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Solution

The fourth proportional to 4,666.89, 6,997.23 and 3,186.57 is: 4,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.89 : 6,997.23 = 3,186.57 : x
  2. Step 2: Convert to fraction form
    4,666.89/6,997.23 = 3,186.57/x
  3. Step 3: Cross multiply
    4,666.89x = 6,997.23 × 3,186.57
  4. Step 4: Simplify right side
    4,666.89x = 22,297,163.20
  5. Step 5: Solve for x
    x = 22,297,163.20/4,666.89
  6. Step 6: Final answer
    x = 4,777.73

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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.