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Finding the Fourth Proportional to 4,198.01, 5,793.28 and 2,309.54

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Solution

The fourth proportional to 4,198.01, 5,793.28 and 2,309.54 is: 3,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.01 : 5,793.28 = 2,309.54 : x
  2. Step 2: Convert to fraction form
    4,198.01/5,793.28 = 2,309.54/x
  3. Step 3: Cross multiply
    4,198.01x = 5,793.28 × 2,309.54
  4. Step 4: Simplify right side
    4,198.01x = 13,379,811.89
  5. Step 5: Solve for x
    x = 13,379,811.89/4,198.01
  6. Step 6: Final answer
    x = 3,187.18

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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.