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Finding the Fourth Proportional to 3,769.82, 5,202.60 and 3,468.50

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Solution

The fourth proportional to 3,769.82, 5,202.60 and 3,468.50 is: 4,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.82 : 5,202.60 = 3,468.50 : x
  2. Step 2: Convert to fraction form
    3,769.82/5,202.60 = 3,468.50/x
  3. Step 3: Cross multiply
    3,769.82x = 5,202.60 × 3,468.50
  4. Step 4: Simplify right side
    3,769.82x = 18,045,218.10
  5. Step 5: Solve for x
    x = 18,045,218.10/3,769.82
  6. Step 6: Final answer
    x = 4,786.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.