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Finding the Fourth Proportional to 3,463.29, 5,194.26 and 998.01

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Solution

The fourth proportional to 3,463.29, 5,194.26 and 998.01 is: 1,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.29 : 5,194.26 = 998.01 : x
  2. Step 2: Convert to fraction form
    3,463.29/5,194.26 = 998.01/x
  3. Step 3: Cross multiply
    3,463.29x = 5,194.26 × 998.01
  4. Step 4: Simplify right side
    3,463.29x = 5,183,923.42
  5. Step 5: Solve for x
    x = 5,183,923.42/3,463.29
  6. Step 6: Final answer
    x = 1,496.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.