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Finding the Fourth Proportional to 4,198.74, 5,794.29 and 2,310.27

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Solution

The fourth proportional to 4,198.74, 5,794.29 and 2,310.27 is: 3,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.74 : 5,794.29 = 2,310.27 : x
  2. Step 2: Convert to fraction form
    4,198.74/5,794.29 = 2,310.27/x
  3. Step 3: Cross multiply
    4,198.74x = 5,794.29 × 2,310.27
  4. Step 4: Simplify right side
    4,198.74x = 13,386,391.72
  5. Step 5: Solve for x
    x = 13,386,391.72/4,198.74
  6. Step 6: Final answer
    x = 3,188.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.