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Finding the Fourth Proportional to 5,198.04, 7,797.12 and 1,735.20

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Solution

The fourth proportional to 5,198.04, 7,797.12 and 1,735.20 is: 2,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.04 : 7,797.12 = 1,735.20 : x
  2. Step 2: Convert to fraction form
    5,198.04/7,797.12 = 1,735.20/x
  3. Step 3: Cross multiply
    5,198.04x = 7,797.12 × 1,735.20
  4. Step 4: Simplify right side
    5,198.04x = 13,529,562.62
  5. Step 5: Solve for x
    x = 13,529,562.62/5,198.04
  6. Step 6: Final answer
    x = 2,602.82

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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.