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Finding the Fourth Proportional to 3,659.97, 5,488.78 and 1,194.20

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Solution

The fourth proportional to 3,659.97, 5,488.78 and 1,194.20 is: 1,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.97 : 5,488.78 = 1,194.20 : x
  2. Step 2: Convert to fraction form
    3,659.97/5,488.78 = 1,194.20/x
  3. Step 3: Cross multiply
    3,659.97x = 5,488.78 × 1,194.20
  4. Step 4: Simplify right side
    3,659.97x = 6,554,701.08
  5. Step 5: Solve for x
    x = 6,554,701.08/3,659.97
  6. Step 6: Final answer
    x = 1,790.92

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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.