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Finding the Fourth Proportional to 5,912.97, 8,869.50 and 1,696.23

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Solution

The fourth proportional to 5,912.97, 8,869.50 and 1,696.23 is: 2,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.97 : 8,869.50 = 1,696.23 : x
  2. Step 2: Convert to fraction form
    5,912.97/8,869.50 = 1,696.23/x
  3. Step 3: Cross multiply
    5,912.97x = 8,869.50 × 1,696.23
  4. Step 4: Simplify right side
    5,912.97x = 15,044,711.99
  5. Step 5: Solve for x
    x = 15,044,711.99/5,912.97
  6. Step 6: Final answer
    x = 2,544.36

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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.