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Finding the Fourth Proportional to 4,204.62, 6,306.93 and 4,198.55

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Solution

The fourth proportional to 4,204.62, 6,306.93 and 4,198.55 is: 6,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.62 : 6,306.93 = 4,198.55 : x
  2. Step 2: Convert to fraction form
    4,204.62/6,306.93 = 4,198.55/x
  3. Step 3: Cross multiply
    4,204.62x = 6,306.93 × 4,198.55
  4. Step 4: Simplify right side
    4,204.62x = 26,479,929.42
  5. Step 5: Solve for x
    x = 26,479,929.42/4,204.62
  6. Step 6: Final answer
    x = 6,297.82

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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.