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Finding the Fourth Proportional to 5,273.76, 7,913.46 and 3,424.44

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Solution

The fourth proportional to 5,273.76, 7,913.46 and 3,424.44 is: 5,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.76 : 7,913.46 = 3,424.44 : x
  2. Step 2: Convert to fraction form
    5,273.76/7,913.46 = 3,424.44/x
  3. Step 3: Cross multiply
    5,273.76x = 7,913.46 × 3,424.44
  4. Step 4: Simplify right side
    5,273.76x = 27,099,168.96
  5. Step 5: Solve for x
    x = 27,099,168.96/5,273.76
  6. Step 6: Final answer
    x = 5,138.49

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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.