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Finding the Fourth Proportional to 5,481.54, 8,220.24 and 1,782.90

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Solution

The fourth proportional to 5,481.54, 8,220.24 and 1,782.90 is: 2,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.54 : 8,220.24 = 1,782.90 : x
  2. Step 2: Convert to fraction form
    5,481.54/8,220.24 = 1,782.90/x
  3. Step 3: Cross multiply
    5,481.54x = 8,220.24 × 1,782.90
  4. Step 4: Simplify right side
    5,481.54x = 14,655,865.90
  5. Step 5: Solve for x
    x = 14,655,865.90/5,481.54
  6. Step 6: Final answer
    x = 2,673.68

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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.