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Finding the Fourth Proportional to 5,669.92, 7,824.46 and 3,185.92

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Solution

The fourth proportional to 5,669.92, 7,824.46 and 3,185.92 is: 4,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.92 : 7,824.46 = 3,185.92 : x
  2. Step 2: Convert to fraction form
    5,669.92/7,824.46 = 3,185.92/x
  3. Step 3: Cross multiply
    5,669.92x = 7,824.46 × 3,185.92
  4. Step 4: Simplify right side
    5,669.92x = 24,928,103.60
  5. Step 5: Solve for x
    x = 24,928,103.60/5,669.92
  6. Step 6: Final answer
    x = 4,396.55

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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.