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Finding the Fourth Proportional to 5,481.53, 8,220.43 and 1,782.84

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Solution

The fourth proportional to 5,481.53, 8,220.43 and 1,782.84 is: 2,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.53 : 8,220.43 = 1,782.84 : x
  2. Step 2: Convert to fraction form
    5,481.53/8,220.43 = 1,782.84/x
  3. Step 3: Cross multiply
    5,481.53x = 8,220.43 × 1,782.84
  4. Step 4: Simplify right side
    5,481.53x = 14,655,693.22
  5. Step 5: Solve for x
    x = 14,655,693.22/5,481.53
  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.