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Finding the Fourth Proportional to 3,773.84, 5,650.50 and 2,211.54

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Solution

The fourth proportional to 3,773.84, 5,650.50 and 2,211.54 is: 3,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.84 : 5,650.50 = 2,211.54 : x
  2. Step 2: Convert to fraction form
    3,773.84/5,650.50 = 2,211.54/x
  3. Step 3: Cross multiply
    3,773.84x = 5,650.50 × 2,211.54
  4. Step 4: Simplify right side
    3,773.84x = 12,496,306.77
  5. Step 5: Solve for x
    x = 12,496,306.77/3,773.84
  6. Step 6: Final answer
    x = 3,311.30

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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.