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Finding the Fourth Proportional to 4,096.83, 5,655.37 and 3,198.34

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Solution

The fourth proportional to 4,096.83, 5,655.37 and 3,198.34 is: 4,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.83 : 5,655.37 = 3,198.34 : x
  2. Step 2: Convert to fraction form
    4,096.83/5,655.37 = 3,198.34/x
  3. Step 3: Cross multiply
    4,096.83x = 5,655.37 × 3,198.34
  4. Step 4: Simplify right side
    4,096.83x = 18,087,769.34
  5. Step 5: Solve for x
    x = 18,087,769.34/4,096.83
  6. Step 6: Final answer
    x = 4,415.07

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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.