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Finding the Fourth Proportional to 4,198.59, 6,297.86 and 1,276.89

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Solution

The fourth proportional to 4,198.59, 6,297.86 and 1,276.89 is: 1,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.59 : 6,297.86 = 1,276.89 : x
  2. Step 2: Convert to fraction form
    4,198.59/6,297.86 = 1,276.89/x
  3. Step 3: Cross multiply
    4,198.59x = 6,297.86 × 1,276.89
  4. Step 4: Simplify right side
    4,198.59x = 8,041,668.07
  5. Step 5: Solve for x
    x = 8,041,668.07/4,198.59
  6. Step 6: Final answer
    x = 1,915.33

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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.