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Finding the Fourth Proportional to 3,552.08, 5,324.24 and 1,820.80

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Solution

The fourth proportional to 3,552.08, 5,324.24 and 1,820.80 is: 2,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.08 : 5,324.24 = 1,820.80 : x
  2. Step 2: Convert to fraction form
    3,552.08/5,324.24 = 1,820.80/x
  3. Step 3: Cross multiply
    3,552.08x = 5,324.24 × 1,820.80
  4. Step 4: Simplify right side
    3,552.08x = 9,694,376.19
  5. Step 5: Solve for x
    x = 9,694,376.19/3,552.08
  6. Step 6: Final answer
    x = 2,729.21

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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.