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Finding the Fourth Proportional to 5,692.15, 7,855.11 and 3,174.22

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Solution

The fourth proportional to 5,692.15, 7,855.11 and 3,174.22 is: 4,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.15 : 7,855.11 = 3,174.22 : x
  2. Step 2: Convert to fraction form
    5,692.15/7,855.11 = 3,174.22/x
  3. Step 3: Cross multiply
    5,692.15x = 7,855.11 × 3,174.22
  4. Step 4: Simplify right side
    5,692.15x = 24,933,847.26
  5. Step 5: Solve for x
    x = 24,933,847.26/5,692.15
  6. Step 6: Final answer
    x = 4,380.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.