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Finding the Fourth Proportional to 5,098.72, 7,629.84 and 3,019.84

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Solution

The fourth proportional to 5,098.72, 7,629.84 and 3,019.84 is: 4,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.72 : 7,629.84 = 3,019.84 : x
  2. Step 2: Convert to fraction form
    5,098.72/7,629.84 = 3,019.84/x
  3. Step 3: Cross multiply
    5,098.72x = 7,629.84 × 3,019.84
  4. Step 4: Simplify right side
    5,098.72x = 23,040,896.03
  5. Step 5: Solve for x
    x = 23,040,896.03/5,098.72
  6. Step 6: Final answer
    x = 4,518.96

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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.