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Finding the Fourth Proportional to 5,481.96, 8,223.42 and 1,782.78

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Solution

The fourth proportional to 5,481.96, 8,223.42 and 1,782.78 is: 2,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.96 : 8,223.42 = 1,782.78 : x
  2. Step 2: Convert to fraction form
    5,481.96/8,223.42 = 1,782.78/x
  3. Step 3: Cross multiply
    5,481.96x = 8,223.42 × 1,782.78
  4. Step 4: Simplify right side
    5,481.96x = 14,660,548.71
  5. Step 5: Solve for x
    x = 14,660,548.71/5,481.96
  6. Step 6: Final answer
    x = 2,674.33

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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.