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Finding the Fourth Proportional to 5,706.31, 7,874.72 and 3,222.31

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Solution

The fourth proportional to 5,706.31, 7,874.72 and 3,222.31 is: 4,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.31 : 7,874.72 = 3,222.31 : x
  2. Step 2: Convert to fraction form
    5,706.31/7,874.72 = 3,222.31/x
  3. Step 3: Cross multiply
    5,706.31x = 7,874.72 × 3,222.31
  4. Step 4: Simplify right side
    5,706.31x = 25,374,789.00
  5. Step 5: Solve for x
    x = 25,374,789.00/5,706.31
  6. Step 6: Final answer
    x = 4,446.79

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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.