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Finding the Fourth Proportional to 5,690.62, 7,849.74 and 3,922.12

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Solution

The fourth proportional to 5,690.62, 7,849.74 and 3,922.12 is: 5,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.62 : 7,849.74 = 3,922.12 : x
  2. Step 2: Convert to fraction form
    5,690.62/7,849.74 = 3,922.12/x
  3. Step 3: Cross multiply
    5,690.62x = 7,849.74 × 3,922.12
  4. Step 4: Simplify right side
    5,690.62x = 30,787,622.25
  5. Step 5: Solve for x
    x = 30,787,622.25/5,690.62
  6. Step 6: Final answer
    x = 5,410.24

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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.