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Finding the Fourth Proportional to 4,842.64, 7,258.92 and 2,243.44

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Solution

The fourth proportional to 4,842.64, 7,258.92 and 2,243.44 is: 3,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.64 : 7,258.92 = 2,243.44 : x
  2. Step 2: Convert to fraction form
    4,842.64/7,258.92 = 2,243.44/x
  3. Step 3: Cross multiply
    4,842.64x = 7,258.92 × 2,243.44
  4. Step 4: Simplify right side
    4,842.64x = 16,284,951.48
  5. Step 5: Solve for x
    x = 16,284,951.48/4,842.64
  6. Step 6: Final answer
    x = 3,362.83

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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.