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Finding the Fourth Proportional to 4,662.27, 6,993.35 and 2,195.74

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Solution

The fourth proportional to 4,662.27, 6,993.35 and 2,195.74 is: 3,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.27 : 6,993.35 = 2,195.74 : x
  2. Step 2: Convert to fraction form
    4,662.27/6,993.35 = 2,195.74/x
  3. Step 3: Cross multiply
    4,662.27x = 6,993.35 × 2,195.74
  4. Step 4: Simplify right side
    4,662.27x = 15,355,578.33
  5. Step 5: Solve for x
    x = 15,355,578.33/4,662.27
  6. Step 6: Final answer
    x = 3,293.58

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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.