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Finding the Fourth Proportional to 4,198.58, 5,793.71 and 2,429.84

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Solution

The fourth proportional to 4,198.58, 5,793.71 and 2,429.84 is: 3,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.58 : 5,793.71 = 2,429.84 : x
  2. Step 2: Convert to fraction form
    4,198.58/5,793.71 = 2,429.84/x
  3. Step 3: Cross multiply
    4,198.58x = 5,793.71 × 2,429.84
  4. Step 4: Simplify right side
    4,198.58x = 14,077,790.64
  5. Step 5: Solve for x
    x = 14,077,790.64/4,198.58
  6. Step 6: Final answer
    x = 3,352.99

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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.