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Finding the Fourth Proportional to 5,191.84, 7,163.76 and 3,096.16

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Solution

The fourth proportional to 5,191.84, 7,163.76 and 3,096.16 is: 4,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.84 : 7,163.76 = 3,096.16 : x
  2. Step 2: Convert to fraction form
    5,191.84/7,163.76 = 3,096.16/x
  3. Step 3: Cross multiply
    5,191.84x = 7,163.76 × 3,096.16
  4. Step 4: Simplify right side
    5,191.84x = 22,180,147.16
  5. Step 5: Solve for x
    x = 22,180,147.16/5,191.84
  6. Step 6: Final answer
    x = 4,272.12

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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.