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Finding the Fourth Proportional to 5,191.88, 7,163.70 and 3,096.68

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Solution

The fourth proportional to 5,191.88, 7,163.70 and 3,096.68 is: 4,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.88 : 7,163.70 = 3,096.68 : x
  2. Step 2: Convert to fraction form
    5,191.88/7,163.70 = 3,096.68/x
  3. Step 3: Cross multiply
    5,191.88x = 7,163.70 × 3,096.68
  4. Step 4: Simplify right side
    5,191.88x = 22,183,686.52
  5. Step 5: Solve for x
    x = 22,183,686.52/5,191.88
  6. Step 6: Final answer
    x = 4,272.77

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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.