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Finding the Fourth Proportional to 5,696.02, 8,538.56 and 1,797.76

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Solution

The fourth proportional to 5,696.02, 8,538.56 and 1,797.76 is: 2,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.02 : 8,538.56 = 1,797.76 : x
  2. Step 2: Convert to fraction form
    5,696.02/8,538.56 = 1,797.76/x
  3. Step 3: Cross multiply
    5,696.02x = 8,538.56 × 1,797.76
  4. Step 4: Simplify right side
    5,696.02x = 15,350,229.94
  5. Step 5: Solve for x
    x = 15,350,229.94/5,696.02
  6. Step 6: Final answer
    x = 2,694.91

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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.