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Finding the Fourth Proportional to 4,198.72, 5,792.64 and 2,429.44

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Solution

The fourth proportional to 4,198.72, 5,792.64 and 2,429.44 is: 3,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.72 : 5,792.64 = 2,429.44 : x
  2. Step 2: Convert to fraction form
    4,198.72/5,792.64 = 2,429.44/x
  3. Step 3: Cross multiply
    4,198.72x = 5,792.64 × 2,429.44
  4. Step 4: Simplify right side
    4,198.72x = 14,072,871.32
  5. Step 5: Solve for x
    x = 14,072,871.32/4,198.72
  6. Step 6: Final answer
    x = 3,351.71

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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.