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Finding the Fourth Proportional to 4,692.57, 7,035.38 and 2,843.24

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Solution

The fourth proportional to 4,692.57, 7,035.38 and 2,843.24 is: 4,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.57 : 7,035.38 = 2,843.24 : x
  2. Step 2: Convert to fraction form
    4,692.57/7,035.38 = 2,843.24/x
  3. Step 3: Cross multiply
    4,692.57x = 7,035.38 × 2,843.24
  4. Step 4: Simplify right side
    4,692.57x = 20,003,273.83
  5. Step 5: Solve for x
    x = 20,003,273.83/4,692.57
  6. Step 6: Final answer
    x = 4,262.75

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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.