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Finding the Fourth Proportional to 4,198.78, 6,297.92 and 1,565.78

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Solution

The fourth proportional to 4,198.78, 6,297.92 and 1,565.78 is: 2,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.78 : 6,297.92 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    4,198.78/6,297.92 = 1,565.78/x
  3. Step 3: Cross multiply
    4,198.78x = 6,297.92 × 1,565.78
  4. Step 4: Simplify right side
    4,198.78x = 9,861,157.18
  5. Step 5: Solve for x
    x = 9,861,157.18/4,198.78
  6. Step 6: Final answer
    x = 2,348.58

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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.