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Finding the Fourth Proportional to 5,198.92, 7,785.72 and 2,735.80

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Solution

The fourth proportional to 5,198.92, 7,785.72 and 2,735.80 is: 4,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.92 : 7,785.72 = 2,735.80 : x
  2. Step 2: Convert to fraction form
    5,198.92/7,785.72 = 2,735.80/x
  3. Step 3: Cross multiply
    5,198.92x = 7,785.72 × 2,735.80
  4. Step 4: Simplify right side
    5,198.92x = 21,300,172.78
  5. Step 5: Solve for x
    x = 21,300,172.78/5,198.92
  6. Step 6: Final answer
    x = 4,097.04

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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.