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Finding the Fourth Proportional to 3,946.81, 5,441.75 and 3,198.01

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Solution

The fourth proportional to 3,946.81, 5,441.75 and 3,198.01 is: 4,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.81 : 5,441.75 = 3,198.01 : x
  2. Step 2: Convert to fraction form
    3,946.81/5,441.75 = 3,198.01/x
  3. Step 3: Cross multiply
    3,946.81x = 5,441.75 × 3,198.01
  4. Step 4: Simplify right side
    3,946.81x = 17,402,770.92
  5. Step 5: Solve for x
    x = 17,402,770.92/3,946.81
  6. Step 6: Final answer
    x = 4,409.33

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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.