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Finding the Fourth Proportional to 5,099.50, 7,035.64 and 2,974.54

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Solution

The fourth proportional to 5,099.50, 7,035.64 and 2,974.54 is: 4,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.50 : 7,035.64 = 2,974.54 : x
  2. Step 2: Convert to fraction form
    5,099.50/7,035.64 = 2,974.54/x
  3. Step 3: Cross multiply
    5,099.50x = 7,035.64 × 2,974.54
  4. Step 4: Simplify right side
    5,099.50x = 20,927,792.61
  5. Step 5: Solve for x
    x = 20,927,792.61/5,099.50
  6. Step 6: Final answer
    x = 4,103.89

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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.