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Finding the Fourth Proportional to 5,121.96, 7,069.19 and 2,968.21

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Solution

The fourth proportional to 5,121.96, 7,069.19 and 2,968.21 is: 4,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.96 : 7,069.19 = 2,968.21 : x
  2. Step 2: Convert to fraction form
    5,121.96/7,069.19 = 2,968.21/x
  3. Step 3: Cross multiply
    5,121.96x = 7,069.19 × 2,968.21
  4. Step 4: Simplify right side
    5,121.96x = 20,982,805.10
  5. Step 5: Solve for x
    x = 20,982,805.10/5,121.96
  6. Step 6: Final answer
    x = 4,096.64

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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.