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Finding the Fourth Proportional to 5,096.36, 7,634.09 and 3,010.05

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Solution

The fourth proportional to 5,096.36, 7,634.09 and 3,010.05 is: 4,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.36 : 7,634.09 = 3,010.05 : x
  2. Step 2: Convert to fraction form
    5,096.36/7,634.09 = 3,010.05/x
  3. Step 3: Cross multiply
    5,096.36x = 7,634.09 × 3,010.05
  4. Step 4: Simplify right side
    5,096.36x = 22,978,977.55
  5. Step 5: Solve for x
    x = 22,978,977.55/5,096.36
  6. Step 6: Final answer
    x = 4,508.90

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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.