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Finding the Fourth Proportional to 5,481.22, 8,222.14 and 1,783.77

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Solution

The fourth proportional to 5,481.22, 8,222.14 and 1,783.77 is: 2,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.22 : 8,222.14 = 1,783.77 : x
  2. Step 2: Convert to fraction form
    5,481.22/8,222.14 = 1,783.77/x
  3. Step 3: Cross multiply
    5,481.22x = 8,222.14 × 1,783.77
  4. Step 4: Simplify right side
    5,481.22x = 14,666,424.31
  5. Step 5: Solve for x
    x = 14,666,424.31/5,481.22
  6. Step 6: Final answer
    x = 2,675.76

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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.