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Finding the Fourth Proportional to 5,882.98, 8,824.49 and 1,990.12

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Solution

The fourth proportional to 5,882.98, 8,824.49 and 1,990.12 is: 2,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.98 : 8,824.49 = 1,990.12 : x
  2. Step 2: Convert to fraction form
    5,882.98/8,824.49 = 1,990.12/x
  3. Step 3: Cross multiply
    5,882.98x = 8,824.49 × 1,990.12
  4. Step 4: Simplify right side
    5,882.98x = 17,561,797.23
  5. Step 5: Solve for x
    x = 17,561,797.23/5,882.98
  6. Step 6: Final answer
    x = 2,985.19

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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.