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Finding the Fourth Proportional to 4,825.44, 7,239.60 and 2,772

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Solution

The fourth proportional to 4,825.44, 7,239.60 and 2,772 is: 4,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.44 : 7,239.60 = 2,772 : x
  2. Step 2: Convert to fraction form
    4,825.44/7,239.60 = 2,772/x
  3. Step 3: Cross multiply
    4,825.44x = 7,239.60 × 2,772
  4. Step 4: Simplify right side
    4,825.44x = 20,068,171.20
  5. Step 5: Solve for x
    x = 20,068,171.20/4,825.44
  6. Step 6: Final answer
    x = 4,158.83

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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.