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Finding the Fourth Proportional to 3,993.33, 5,991.18 and 2,046.90

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Solution

The fourth proportional to 3,993.33, 5,991.18 and 2,046.90 is: 3,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.33 : 5,991.18 = 2,046.90 : x
  2. Step 2: Convert to fraction form
    3,993.33/5,991.18 = 2,046.90/x
  3. Step 3: Cross multiply
    3,993.33x = 5,991.18 × 2,046.90
  4. Step 4: Simplify right side
    3,993.33x = 12,263,346.34
  5. Step 5: Solve for x
    x = 12,263,346.34/3,993.33
  6. Step 6: Final answer
    x = 3,070.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.