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Finding the Fourth Proportional to 4,229.75, 6,344.93 and 1,307.68

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Solution

The fourth proportional to 4,229.75, 6,344.93 and 1,307.68 is: 1,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.75 : 6,344.93 = 1,307.68 : x
  2. Step 2: Convert to fraction form
    4,229.75/6,344.93 = 1,307.68/x
  3. Step 3: Cross multiply
    4,229.75x = 6,344.93 × 1,307.68
  4. Step 4: Simplify right side
    4,229.75x = 8,297,099.80
  5. Step 5: Solve for x
    x = 8,297,099.80/4,229.75
  6. Step 6: Final answer
    x = 1,961.61

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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.