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Finding the Fourth Proportional to 4,661.27, 6,991.85 and 2,194.74

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Solution

The fourth proportional to 4,661.27, 6,991.85 and 2,194.74 is: 3,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.27 : 6,991.85 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    4,661.27/6,991.85 = 2,194.74/x
  3. Step 3: Cross multiply
    4,661.27x = 6,991.85 × 2,194.74
  4. Step 4: Simplify right side
    4,661.27x = 15,345,298.36
  5. Step 5: Solve for x
    x = 15,345,298.36/4,661.27
  6. Step 6: Final answer
    x = 3,292.09

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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.