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Finding the Fourth Proportional to 4,661.52, 6,991.17 and 2,194.02

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Solution

The fourth proportional to 4,661.52, 6,991.17 and 2,194.02 is: 3,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.52 : 6,991.17 = 2,194.02 : x
  2. Step 2: Convert to fraction form
    4,661.52/6,991.17 = 2,194.02/x
  3. Step 3: Cross multiply
    4,661.52x = 6,991.17 × 2,194.02
  4. Step 4: Simplify right side
    4,661.52x = 15,338,766.80
  5. Step 5: Solve for x
    x = 15,338,766.80/4,661.52
  6. Step 6: Final answer
    x = 3,290.51

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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.