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Finding the Fourth Proportional to 5,452.84, 8,180.48 and 1,990.09

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Solution

The fourth proportional to 5,452.84, 8,180.48 and 1,990.09 is: 2,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.84 : 8,180.48 = 1,990.09 : x
  2. Step 2: Convert to fraction form
    5,452.84/8,180.48 = 1,990.09/x
  3. Step 3: Cross multiply
    5,452.84x = 8,180.48 × 1,990.09
  4. Step 4: Simplify right side
    5,452.84x = 16,279,891.44
  5. Step 5: Solve for x
    x = 16,279,891.44/5,452.84
  6. Step 6: Final answer
    x = 2,985.58

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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.