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Finding the Fourth Proportional to 5,198.28, 7,797.57 and 1,302.76

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Solution

The fourth proportional to 5,198.28, 7,797.57 and 1,302.76 is: 1,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.28 : 7,797.57 = 1,302.76 : x
  2. Step 2: Convert to fraction form
    5,198.28/7,797.57 = 1,302.76/x
  3. Step 3: Cross multiply
    5,198.28x = 7,797.57 × 1,302.76
  4. Step 4: Simplify right side
    5,198.28x = 10,158,362.29
  5. Step 5: Solve for x
    x = 10,158,362.29/5,198.28
  6. Step 6: Final answer
    x = 1,954.18

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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.