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Finding the Fourth Proportional to 5,690.36, 7,849.32 and 3,450.44

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Solution

The fourth proportional to 5,690.36, 7,849.32 and 3,450.44 is: 4,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.36 : 7,849.32 = 3,450.44 : x
  2. Step 2: Convert to fraction form
    5,690.36/7,849.32 = 3,450.44/x
  3. Step 3: Cross multiply
    5,690.36x = 7,849.32 × 3,450.44
  4. Step 4: Simplify right side
    5,690.36x = 27,083,607.70
  5. Step 5: Solve for x
    x = 27,083,607.70/5,690.36
  6. Step 6: Final answer
    x = 4,759.56

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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.