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Finding the Fourth Proportional to 5,481.74, 8,222.72 and 1,783.96

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Solution

The fourth proportional to 5,481.74, 8,222.72 and 1,783.96 is: 2,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.74 : 8,222.72 = 1,783.96 : x
  2. Step 2: Convert to fraction form
    5,481.74/8,222.72 = 1,783.96/x
  3. Step 3: Cross multiply
    5,481.74x = 8,222.72 × 1,783.96
  4. Step 4: Simplify right side
    5,481.74x = 14,668,974.09
  5. Step 5: Solve for x
    x = 14,668,974.09/5,481.74
  6. Step 6: Final answer
    x = 2,675.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.