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Finding the Fourth Proportional to 5,705.43, 7,861.82 and 4,028.73

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Solution

The fourth proportional to 5,705.43, 7,861.82 and 4,028.73 is: 5,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.43 : 7,861.82 = 4,028.73 : x
  2. Step 2: Convert to fraction form
    5,705.43/7,861.82 = 4,028.73/x
  3. Step 3: Cross multiply
    5,705.43x = 7,861.82 × 4,028.73
  4. Step 4: Simplify right side
    5,705.43x = 31,673,150.09
  5. Step 5: Solve for x
    x = 31,673,150.09/5,705.43
  6. Step 6: Final answer
    x = 5,551.40

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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.