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Finding the Fourth Proportional to 4,198.43, 5,794.04 and 2,429.70

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Solution

The fourth proportional to 4,198.43, 5,794.04 and 2,429.70 is: 3,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.43 : 5,794.04 = 2,429.70 : x
  2. Step 2: Convert to fraction form
    4,198.43/5,794.04 = 2,429.70/x
  3. Step 3: Cross multiply
    4,198.43x = 5,794.04 × 2,429.70
  4. Step 4: Simplify right side
    4,198.43x = 14,077,778.99
  5. Step 5: Solve for x
    x = 14,077,778.99/4,198.43
  6. Step 6: Final answer
    x = 3,353.11

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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.