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Finding the Fourth Proportional to 3,682.79, 5,521.42 and 2,221.60

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Solution

The fourth proportional to 3,682.79, 5,521.42 and 2,221.60 is: 3,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.79 : 5,521.42 = 2,221.60 : x
  2. Step 2: Convert to fraction form
    3,682.79/5,521.42 = 2,221.60/x
  3. Step 3: Cross multiply
    3,682.79x = 5,521.42 × 2,221.60
  4. Step 4: Simplify right side
    3,682.79x = 12,266,375.65
  5. Step 5: Solve for x
    x = 12,266,375.65/3,682.79
  6. Step 6: Final answer
    x = 3,330.73

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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.