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Finding the Fourth Proportional to 5,198.12, 7,796.02 and 1,499.54

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Solution

The fourth proportional to 5,198.12, 7,796.02 and 1,499.54 is: 2,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.12 : 7,796.02 = 1,499.54 : x
  2. Step 2: Convert to fraction form
    5,198.12/7,796.02 = 1,499.54/x
  3. Step 3: Cross multiply
    5,198.12x = 7,796.02 × 1,499.54
  4. Step 4: Simplify right side
    5,198.12x = 11,690,443.83
  5. Step 5: Solve for x
    x = 11,690,443.83/5,198.12
  6. Step 6: Final answer
    x = 2,248.98

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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.