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Finding the Fourth Proportional to 3,769.68, 5,201.80 and 2,985.68

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Solution

The fourth proportional to 3,769.68, 5,201.80 and 2,985.68 is: 4,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.68 : 5,201.80 = 2,985.68 : x
  2. Step 2: Convert to fraction form
    3,769.68/5,201.80 = 2,985.68/x
  3. Step 3: Cross multiply
    3,769.68x = 5,201.80 × 2,985.68
  4. Step 4: Simplify right side
    3,769.68x = 15,530,910.22
  5. Step 5: Solve for x
    x = 15,530,910.22/3,769.68
  6. Step 6: Final answer
    x = 4,119.95

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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.