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Finding the Fourth Proportional to 4,198.18, 5,793.02 and 2,429.44

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Solution

The fourth proportional to 4,198.18, 5,793.02 and 2,429.44 is: 3,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.18 : 5,793.02 = 2,429.44 : x
  2. Step 2: Convert to fraction form
    4,198.18/5,793.02 = 2,429.44/x
  3. Step 3: Cross multiply
    4,198.18x = 5,793.02 × 2,429.44
  4. Step 4: Simplify right side
    4,198.18x = 14,073,794.51
  5. Step 5: Solve for x
    x = 14,073,794.51/4,198.18
  6. Step 6: Final answer
    x = 3,352.36

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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.