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Finding the Fourth Proportional to 3,744.34, 5,620.83 and 2,016.34

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Solution

The fourth proportional to 3,744.34, 5,620.83 and 2,016.34 is: 3,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.34 : 5,620.83 = 2,016.34 : x
  2. Step 2: Convert to fraction form
    3,744.34/5,620.83 = 2,016.34/x
  3. Step 3: Cross multiply
    3,744.34x = 5,620.83 × 2,016.34
  4. Step 4: Simplify right side
    3,744.34x = 11,333,504.36
  5. Step 5: Solve for x
    x = 11,333,504.36/3,744.34
  6. Step 6: Final answer
    x = 3,026.84

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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.