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Finding the Fourth Proportional to 3,843.28, 5,290.68 and 3,450.16

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Solution

The fourth proportional to 3,843.28, 5,290.68 and 3,450.16 is: 4,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.28 : 5,290.68 = 3,450.16 : x
  2. Step 2: Convert to fraction form
    3,843.28/5,290.68 = 3,450.16/x
  3. Step 3: Cross multiply
    3,843.28x = 5,290.68 × 3,450.16
  4. Step 4: Simplify right side
    3,843.28x = 18,253,692.51
  5. Step 5: Solve for x
    x = 18,253,692.51/3,843.28
  6. Step 6: Final answer
    x = 4,749.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.