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Finding the Fourth Proportional to 5,706.43, 7,863.20 and 4,029.73

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Solution

The fourth proportional to 5,706.43, 7,863.20 and 4,029.73 is: 5,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.43 : 7,863.20 = 4,029.73 : x
  2. Step 2: Convert to fraction form
    5,706.43/7,863.20 = 4,029.73/x
  3. Step 3: Cross multiply
    5,706.43x = 7,863.20 × 4,029.73
  4. Step 4: Simplify right side
    5,706.43x = 31,686,572.94
  5. Step 5: Solve for x
    x = 31,686,572.94/5,706.43
  6. Step 6: Final answer
    x = 5,552.78

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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.