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Finding the Fourth Proportional to 5,481.69, 8,222.68 and 1,784.14

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Solution

The fourth proportional to 5,481.69, 8,222.68 and 1,784.14 is: 2,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.69 : 8,222.68 = 1,784.14 : x
  2. Step 2: Convert to fraction form
    5,481.69/8,222.68 = 1,784.14/x
  3. Step 3: Cross multiply
    5,481.69x = 8,222.68 × 1,784.14
  4. Step 4: Simplify right side
    5,481.69x = 14,670,393.97
  5. Step 5: Solve for x
    x = 14,670,393.97/5,481.69
  6. Step 6: Final answer
    x = 2,676.26

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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.