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Finding the Fourth Proportional to 5,481.57, 8,220.21 and 1,782.90

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Solution

The fourth proportional to 5,481.57, 8,220.21 and 1,782.90 is: 2,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.57 : 8,220.21 = 1,782.90 : x
  2. Step 2: Convert to fraction form
    5,481.57/8,220.21 = 1,782.90/x
  3. Step 3: Cross multiply
    5,481.57x = 8,220.21 × 1,782.90
  4. Step 4: Simplify right side
    5,481.57x = 14,655,812.41
  5. Step 5: Solve for x
    x = 14,655,812.41/5,481.57
  6. Step 6: Final answer
    x = 2,673.65

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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.