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Finding the Fourth Proportional to 3,794.74, 5,692.11 and 1,197.66

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Solution

The fourth proportional to 3,794.74, 5,692.11 and 1,197.66 is: 1,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.74 : 5,692.11 = 1,197.66 : x
  2. Step 2: Convert to fraction form
    3,794.74/5,692.11 = 1,197.66/x
  3. Step 3: Cross multiply
    3,794.74x = 5,692.11 × 1,197.66
  4. Step 4: Simplify right side
    3,794.74x = 6,817,212.46
  5. Step 5: Solve for x
    x = 6,817,212.46/3,794.74
  6. Step 6: Final answer
    x = 1,796.49

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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.