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Finding the Fourth Proportional to 3,994.70, 5,993.91 and 2,048.27

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Solution

The fourth proportional to 3,994.70, 5,993.91 and 2,048.27 is: 3,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.70 : 5,993.91 = 2,048.27 : x
  2. Step 2: Convert to fraction form
    3,994.70/5,993.91 = 2,048.27/x
  3. Step 3: Cross multiply
    3,994.70x = 5,993.91 × 2,048.27
  4. Step 4: Simplify right side
    3,994.70x = 12,277,116.07
  5. Step 5: Solve for x
    x = 12,277,116.07/3,994.70
  6. Step 6: Final answer
    x = 3,073.36

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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.