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Finding the Fourth Proportional to 5,098.50, 7,035.32 and 2,974.49

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Solution

The fourth proportional to 5,098.50, 7,035.32 and 2,974.49 is: 4,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.50 : 7,035.32 = 2,974.49 : x
  2. Step 2: Convert to fraction form
    5,098.50/7,035.32 = 2,974.49/x
  3. Step 3: Cross multiply
    5,098.50x = 7,035.32 × 2,974.49
  4. Step 4: Simplify right side
    5,098.50x = 20,926,438.94
  5. Step 5: Solve for x
    x = 20,926,438.94/5,098.50
  6. Step 6: Final answer
    x = 4,104.43

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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.