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Finding the Fourth Proportional to 5,192.28, 7,164.18 and 3,096

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Solution

The fourth proportional to 5,192.28, 7,164.18 and 3,096 is: 4,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.28 : 7,164.18 = 3,096 : x
  2. Step 2: Convert to fraction form
    5,192.28/7,164.18 = 3,096/x
  3. Step 3: Cross multiply
    5,192.28x = 7,164.18 × 3,096
  4. Step 4: Simplify right side
    5,192.28x = 22,180,301.28
  5. Step 5: Solve for x
    x = 22,180,301.28/5,192.28
  6. Step 6: Final answer
    x = 4,271.78

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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.