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Finding the Fourth Proportional to 4,198.79, 6,292.51 and 3,409.97

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Solution

The fourth proportional to 4,198.79, 6,292.51 and 3,409.97 is: 5,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.79 : 6,292.51 = 3,409.97 : x
  2. Step 2: Convert to fraction form
    4,198.79/6,292.51 = 3,409.97/x
  3. Step 3: Cross multiply
    4,198.79x = 6,292.51 × 3,409.97
  4. Step 4: Simplify right side
    4,198.79x = 21,457,230.34
  5. Step 5: Solve for x
    x = 21,457,230.34/4,198.79
  6. Step 6: Final answer
    x = 5,110.33

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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.