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Finding the Fourth Proportional to 3,400.38, 4,692.51 and 1,908.30

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Solution

The fourth proportional to 3,400.38, 4,692.51 and 1,908.30 is: 2,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.38 : 4,692.51 = 1,908.30 : x
  2. Step 2: Convert to fraction form
    3,400.38/4,692.51 = 1,908.30/x
  3. Step 3: Cross multiply
    3,400.38x = 4,692.51 × 1,908.30
  4. Step 4: Simplify right side
    3,400.38x = 8,954,716.83
  5. Step 5: Solve for x
    x = 8,954,716.83/3,400.38
  6. Step 6: Final answer
    x = 2,633.45

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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.