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Finding the Fourth Proportional to 3,661.74, 5,485.92 and 2,272.32

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Solution

The fourth proportional to 3,661.74, 5,485.92 and 2,272.32 is: 3,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.74 : 5,485.92 = 2,272.32 : x
  2. Step 2: Convert to fraction form
    3,661.74/5,485.92 = 2,272.32/x
  3. Step 3: Cross multiply
    3,661.74x = 5,485.92 × 2,272.32
  4. Step 4: Simplify right side
    3,661.74x = 12,465,765.73
  5. Step 5: Solve for x
    x = 12,465,765.73/3,661.74
  6. Step 6: Final answer
    x = 3,404.33

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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.