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Finding the Fourth Proportional to 5,561.75, 8,344.29 and 3,221.21

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Solution

The fourth proportional to 5,561.75, 8,344.29 and 3,221.21 is: 4,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.75 : 8,344.29 = 3,221.21 : x
  2. Step 2: Convert to fraction form
    5,561.75/8,344.29 = 3,221.21/x
  3. Step 3: Cross multiply
    5,561.75x = 8,344.29 × 3,221.21
  4. Step 4: Simplify right side
    5,561.75x = 26,878,710.39
  5. Step 5: Solve for x
    x = 26,878,710.39/5,561.75
  6. Step 6: Final answer
    x = 4,832.78

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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.