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Finding the Fourth Proportional to 5,484.80, 8,229.60 and 2,561.60

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Solution

The fourth proportional to 5,484.80, 8,229.60 and 2,561.60 is: 3,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.80 : 8,229.60 = 2,561.60 : x
  2. Step 2: Convert to fraction form
    5,484.80/8,229.60 = 2,561.60/x
  3. Step 3: Cross multiply
    5,484.80x = 8,229.60 × 2,561.60
  4. Step 4: Simplify right side
    5,484.80x = 21,080,943.36
  5. Step 5: Solve for x
    x = 21,080,943.36/5,484.80
  6. Step 6: Final answer
    x = 3,843.52

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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.