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Finding the Fourth Proportional to 5,336.50, 7,361.31 and 3,098.09

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Solution

The fourth proportional to 5,336.50, 7,361.31 and 3,098.09 is: 4,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.50 : 7,361.31 = 3,098.09 : x
  2. Step 2: Convert to fraction form
    5,336.50/7,361.31 = 3,098.09/x
  3. Step 3: Cross multiply
    5,336.50x = 7,361.31 × 3,098.09
  4. Step 4: Simplify right side
    5,336.50x = 22,806,000.90
  5. Step 5: Solve for x
    x = 22,806,000.90/5,336.50
  6. Step 6: Final answer
    x = 4,273.59

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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.