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Finding the Fourth Proportional to 5,696.25, 8,540.82 and 1,998.84

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Solution

The fourth proportional to 5,696.25, 8,540.82 and 1,998.84 is: 2,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.25 : 8,540.82 = 1,998.84 : x
  2. Step 2: Convert to fraction form
    5,696.25/8,540.82 = 1,998.84/x
  3. Step 3: Cross multiply
    5,696.25x = 8,540.82 × 1,998.84
  4. Step 4: Simplify right side
    5,696.25x = 17,071,732.65
  5. Step 5: Solve for x
    x = 17,071,732.65/5,696.25
  6. Step 6: Final answer
    x = 2,997.01

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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.