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Finding the Fourth Proportional to 4,849.82, 6,692.69 and 2,753.81

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Solution

The fourth proportional to 4,849.82, 6,692.69 and 2,753.81 is: 3,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.82 : 6,692.69 = 2,753.81 : x
  2. Step 2: Convert to fraction form
    4,849.82/6,692.69 = 2,753.81/x
  3. Step 3: Cross multiply
    4,849.82x = 6,692.69 × 2,753.81
  4. Step 4: Simplify right side
    4,849.82x = 18,430,396.65
  5. Step 5: Solve for x
    x = 18,430,396.65/4,849.82
  6. Step 6: Final answer
    x = 3,800.22

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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.