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Finding the Fourth Proportional to 4,661.38, 6,991.93 and 2,194.80

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Solution

The fourth proportional to 4,661.38, 6,991.93 and 2,194.80 is: 3,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.38 : 6,991.93 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    4,661.38/6,991.93 = 2,194.80/x
  3. Step 3: Cross multiply
    4,661.38x = 6,991.93 × 2,194.80
  4. Step 4: Simplify right side
    4,661.38x = 15,345,887.96
  5. Step 5: Solve for x
    x = 15,345,887.96/4,661.38
  6. Step 6: Final answer
    x = 3,292.13

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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.