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Finding the Fourth Proportional to 4,190.49, 6,284.93 and 3,982.32

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Solution

The fourth proportional to 4,190.49, 6,284.93 and 3,982.32 is: 5,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.49 : 6,284.93 = 3,982.32 : x
  2. Step 2: Convert to fraction form
    4,190.49/6,284.93 = 3,982.32/x
  3. Step 3: Cross multiply
    4,190.49x = 6,284.93 × 3,982.32
  4. Step 4: Simplify right side
    4,190.49x = 25,028,582.53
  5. Step 5: Solve for x
    x = 25,028,582.53/4,190.49
  6. Step 6: Final answer
    x = 5,972.71

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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.