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Finding the Fourth Proportional to 4,207.90, 6,306.27 and 3,229.22

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Solution

The fourth proportional to 4,207.90, 6,306.27 and 3,229.22 is: 4,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.90 : 6,306.27 = 3,229.22 : x
  2. Step 2: Convert to fraction form
    4,207.90/6,306.27 = 3,229.22/x
  3. Step 3: Cross multiply
    4,207.90x = 6,306.27 × 3,229.22
  4. Step 4: Simplify right side
    4,207.90x = 20,364,333.21
  5. Step 5: Solve for x
    x = 20,364,333.21/4,207.90
  6. Step 6: Final answer
    x = 4,839.55

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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.