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Finding the Fourth Proportional to 3,618.67, 4,993.80 and 2,221.42

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Solution

The fourth proportional to 3,618.67, 4,993.80 and 2,221.42 is: 3,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.67 : 4,993.80 = 2,221.42 : x
  2. Step 2: Convert to fraction form
    3,618.67/4,993.80 = 2,221.42/x
  3. Step 3: Cross multiply
    3,618.67x = 4,993.80 × 2,221.42
  4. Step 4: Simplify right side
    3,618.67x = 11,093,306.38
  5. Step 5: Solve for x
    x = 11,093,306.38/3,618.67
  6. Step 6: Final answer
    x = 3,065.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.