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Finding the Fourth Proportional to 5,480.83, 8,219.17 and 1,782.06

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Solution

The fourth proportional to 5,480.83, 8,219.17 and 1,782.06 is: 2,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.83 : 8,219.17 = 1,782.06 : x
  2. Step 2: Convert to fraction form
    5,480.83/8,219.17 = 1,782.06/x
  3. Step 3: Cross multiply
    5,480.83x = 8,219.17 × 1,782.06
  4. Step 4: Simplify right side
    5,480.83x = 14,647,054.09
  5. Step 5: Solve for x
    x = 14,647,054.09/5,480.83
  6. Step 6: Final answer
    x = 2,672.42

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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.