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Finding the Fourth Proportional to 3,662.13, 5,487.25 and 2,197.65

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Solution

The fourth proportional to 3,662.13, 5,487.25 and 2,197.65 is: 3,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.13 : 5,487.25 = 2,197.65 : x
  2. Step 2: Convert to fraction form
    3,662.13/5,487.25 = 2,197.65/x
  3. Step 3: Cross multiply
    3,662.13x = 5,487.25 × 2,197.65
  4. Step 4: Simplify right side
    3,662.13x = 12,059,054.96
  5. Step 5: Solve for x
    x = 12,059,054.96/3,662.13
  6. Step 6: Final answer
    x = 3,292.91

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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.