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Finding the Fourth Proportional to 4,843.36, 7,258.56 and 2,764

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Solution

The fourth proportional to 4,843.36, 7,258.56 and 2,764 is: 4,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.36 : 7,258.56 = 2,764 : x
  2. Step 2: Convert to fraction form
    4,843.36/7,258.56 = 2,764/x
  3. Step 3: Cross multiply
    4,843.36x = 7,258.56 × 2,764
  4. Step 4: Simplify right side
    4,843.36x = 20,062,659.84
  5. Step 5: Solve for x
    x = 20,062,659.84/4,843.36
  6. Step 6: Final answer
    x = 4,142.30

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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.