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Finding the Fourth Proportional to 5,988.56, 8,982.88 and 1,829.21

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Solution

The fourth proportional to 5,988.56, 8,982.88 and 1,829.21 is: 2,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.56 : 8,982.88 = 1,829.21 : x
  2. Step 2: Convert to fraction form
    5,988.56/8,982.88 = 1,829.21/x
  3. Step 3: Cross multiply
    5,988.56x = 8,982.88 × 1,829.21
  4. Step 4: Simplify right side
    5,988.56x = 16,431,524.44
  5. Step 5: Solve for x
    x = 16,431,524.44/5,988.56
  6. Step 6: Final answer
    x = 2,743.82

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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.