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Finding the Fourth Proportional to 4,198.46, 6,295.85 and 1,599.57

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Solution

The fourth proportional to 4,198.46, 6,295.85 and 1,599.57 is: 2,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.46 : 6,295.85 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    4,198.46/6,295.85 = 1,599.57/x
  3. Step 3: Cross multiply
    4,198.46x = 6,295.85 × 1,599.57
  4. Step 4: Simplify right side
    4,198.46x = 10,070,644.79
  5. Step 5: Solve for x
    x = 10,070,644.79/4,198.46
  6. Step 6: Final answer
    x = 2,398.65

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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.