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Finding the Fourth Proportional to 4,844.64, 7,261.92 and 2,245.44

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Solution

The fourth proportional to 4,844.64, 7,261.92 and 2,245.44 is: 3,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.64 : 7,261.92 = 2,245.44 : x
  2. Step 2: Convert to fraction form
    4,844.64/7,261.92 = 2,245.44/x
  3. Step 3: Cross multiply
    4,844.64x = 7,261.92 × 2,245.44
  4. Step 4: Simplify right side
    4,844.64x = 16,306,205.64
  5. Step 5: Solve for x
    x = 16,306,205.64/4,844.64
  6. Step 6: Final answer
    x = 3,365.82

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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.