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Finding the Fourth Proportional to 5,692.23, 7,854.99 and 3,174.61

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Solution

The fourth proportional to 5,692.23, 7,854.99 and 3,174.61 is: 4,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.23 : 7,854.99 = 3,174.61 : x
  2. Step 2: Convert to fraction form
    5,692.23/7,854.99 = 3,174.61/x
  3. Step 3: Cross multiply
    5,692.23x = 7,854.99 × 3,174.61
  4. Step 4: Simplify right side
    5,692.23x = 24,936,529.80
  5. Step 5: Solve for x
    x = 24,936,529.80/5,692.23
  6. Step 6: Final answer
    x = 4,380.80

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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.