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Finding the Fourth Proportional to 3,793.86, 5,692.80 and 2,624.88

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Solution

The fourth proportional to 3,793.86, 5,692.80 and 2,624.88 is: 3,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.86 : 5,692.80 = 2,624.88 : x
  2. Step 2: Convert to fraction form
    3,793.86/5,692.80 = 2,624.88/x
  3. Step 3: Cross multiply
    3,793.86x = 5,692.80 × 2,624.88
  4. Step 4: Simplify right side
    3,793.86x = 14,942,916.86
  5. Step 5: Solve for x
    x = 14,942,916.86/3,793.86
  6. Step 6: Final answer
    x = 3,938.71

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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.