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Finding the Fourth Proportional to 4,086.46, 5,636.22 and 2,829.62

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Solution

The fourth proportional to 4,086.46, 5,636.22 and 2,829.62 is: 3,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.46 : 5,636.22 = 2,829.62 : x
  2. Step 2: Convert to fraction form
    4,086.46/5,636.22 = 2,829.62/x
  3. Step 3: Cross multiply
    4,086.46x = 5,636.22 × 2,829.62
  4. Step 4: Simplify right side
    4,086.46x = 15,948,360.84
  5. Step 5: Solve for x
    x = 15,948,360.84/4,086.46
  6. Step 6: Final answer
    x = 3,902.73

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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.