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Finding the Fourth Proportional to 5,474.89, 8,211.50 and 1,777.42

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Solution

The fourth proportional to 5,474.89, 8,211.50 and 1,777.42 is: 2,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.89 : 8,211.50 = 1,777.42 : x
  2. Step 2: Convert to fraction form
    5,474.89/8,211.50 = 1,777.42/x
  3. Step 3: Cross multiply
    5,474.89x = 8,211.50 × 1,777.42
  4. Step 4: Simplify right side
    5,474.89x = 14,595,234.39
  5. Step 5: Solve for x
    x = 14,595,234.39/5,474.89
  6. Step 6: Final answer
    x = 2,665.85

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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.