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Finding the Fourth Proportional to 3,659.11, 5,489.15 and 1,193.07

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Solution

The fourth proportional to 3,659.11, 5,489.15 and 1,193.07 is: 1,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.11 : 5,489.15 = 1,193.07 : x
  2. Step 2: Convert to fraction form
    3,659.11/5,489.15 = 1,193.07/x
  3. Step 3: Cross multiply
    3,659.11x = 5,489.15 × 1,193.07
  4. Step 4: Simplify right side
    3,659.11x = 6,548,940.19
  5. Step 5: Solve for x
    x = 6,548,940.19/3,659.11
  6. Step 6: Final answer
    x = 1,789.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.