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Finding the Fourth Proportional to 4,692.78, 7,035.57 and 2,843.37

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Solution

The fourth proportional to 4,692.78, 7,035.57 and 2,843.37 is: 4,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.78 : 7,035.57 = 2,843.37 : x
  2. Step 2: Convert to fraction form
    4,692.78/7,035.57 = 2,843.37/x
  3. Step 3: Cross multiply
    4,692.78x = 7,035.57 × 2,843.37
  4. Step 4: Simplify right side
    4,692.78x = 20,004,728.67
  5. Step 5: Solve for x
    x = 20,004,728.67/4,692.78
  6. Step 6: Final answer
    x = 4,262.87

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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.