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Finding the Fourth Proportional to 4,198.46, 5,793.74 and 2,310.02

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Solution

The fourth proportional to 4,198.46, 5,793.74 and 2,310.02 is: 3,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.46 : 5,793.74 = 2,310.02 : x
  2. Step 2: Convert to fraction form
    4,198.46/5,793.74 = 2,310.02/x
  3. Step 3: Cross multiply
    4,198.46x = 5,793.74 × 2,310.02
  4. Step 4: Simplify right side
    4,198.46x = 13,383,655.27
  5. Step 5: Solve for x
    x = 13,383,655.27/4,198.46
  6. Step 6: Final answer
    x = 3,187.75

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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.