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Finding the Fourth Proportional to 5,122.20, 7,685.10 and 4,942.20

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Solution

The fourth proportional to 5,122.20, 7,685.10 and 4,942.20 is: 7,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.20 : 7,685.10 = 4,942.20 : x
  2. Step 2: Convert to fraction form
    5,122.20/7,685.10 = 4,942.20/x
  3. Step 3: Cross multiply
    5,122.20x = 7,685.10 × 4,942.20
  4. Step 4: Simplify right side
    5,122.20x = 37,981,301.22
  5. Step 5: Solve for x
    x = 37,981,301.22/5,122.20
  6. Step 6: Final answer
    x = 7,415.04

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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.