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Finding the Fourth Proportional to 5,197.64, 7,172.76 and 2,839.76

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Solution

The fourth proportional to 5,197.64, 7,172.76 and 2,839.76 is: 3,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.64 : 7,172.76 = 2,839.76 : x
  2. Step 2: Convert to fraction form
    5,197.64/7,172.76 = 2,839.76/x
  3. Step 3: Cross multiply
    5,197.64x = 7,172.76 × 2,839.76
  4. Step 4: Simplify right side
    5,197.64x = 20,368,916.94
  5. Step 5: Solve for x
    x = 20,368,916.94/5,197.64
  6. Step 6: Final answer
    x = 3,918.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.