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Finding the Fourth Proportional to 3,986.49, 5,974.47 and 2,012.13

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Solution

The fourth proportional to 3,986.49, 5,974.47 and 2,012.13 is: 3,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.49 : 5,974.47 = 2,012.13 : x
  2. Step 2: Convert to fraction form
    3,986.49/5,974.47 = 2,012.13/x
  3. Step 3: Cross multiply
    3,986.49x = 5,974.47 × 2,012.13
  4. Step 4: Simplify right side
    3,986.49x = 12,021,410.32
  5. Step 5: Solve for x
    x = 12,021,410.32/3,986.49
  6. Step 6: Final answer
    x = 3,015.54

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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.