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Finding the Fourth Proportional to 3,565.53, 4,922.85 and 2,221.68

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Solution

The fourth proportional to 3,565.53, 4,922.85 and 2,221.68 is: 3,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.53 : 4,922.85 = 2,221.68 : x
  2. Step 2: Convert to fraction form
    3,565.53/4,922.85 = 2,221.68/x
  3. Step 3: Cross multiply
    3,565.53x = 4,922.85 × 2,221.68
  4. Step 4: Simplify right side
    3,565.53x = 10,936,978.93
  5. Step 5: Solve for x
    x = 10,936,978.93/3,565.53
  6. Step 6: Final answer
    x = 3,067.42

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