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Finding the Fourth Proportional to 3,661.72, 5,493.98 and 2,201.88

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Solution

The fourth proportional to 3,661.72, 5,493.98 and 2,201.88 is: 3,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.72 : 5,493.98 = 2,201.88 : x
  2. Step 2: Convert to fraction form
    3,661.72/5,493.98 = 2,201.88/x
  3. Step 3: Cross multiply
    3,661.72x = 5,493.98 × 2,201.88
  4. Step 4: Simplify right side
    3,661.72x = 12,097,084.68
  5. Step 5: Solve for x
    x = 12,097,084.68/3,661.72
  6. Step 6: Final answer
    x = 3,303.66

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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.