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Finding the Fourth Proportional to 5,099.50, 7,035.18 and 3,109.30

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Solution

The fourth proportional to 5,099.50, 7,035.18 and 3,109.30 is: 4,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.50 : 7,035.18 = 3,109.30 : x
  2. Step 2: Convert to fraction form
    5,099.50/7,035.18 = 3,109.30/x
  3. Step 3: Cross multiply
    5,099.50x = 7,035.18 × 3,109.30
  4. Step 4: Simplify right side
    5,099.50x = 21,874,485.17
  5. Step 5: Solve for x
    x = 21,874,485.17/5,099.50
  6. Step 6: Final answer
    x = 4,289.54

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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.