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Finding the Fourth Proportional to 4,662.14, 6,993.17 and 2,195.61

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Solution

The fourth proportional to 4,662.14, 6,993.17 and 2,195.61 is: 3,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.14 : 6,993.17 = 2,195.61 : x
  2. Step 2: Convert to fraction form
    4,662.14/6,993.17 = 2,195.61/x
  3. Step 3: Cross multiply
    4,662.14x = 6,993.17 × 2,195.61
  4. Step 4: Simplify right side
    4,662.14x = 15,354,263.01
  5. Step 5: Solve for x
    x = 15,354,263.01/4,662.14
  6. Step 6: Final answer
    x = 3,293.39

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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.