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Finding the Fourth Proportional to 4,243.54, 5,853.44 and 2,730.46

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Solution

The fourth proportional to 4,243.54, 5,853.44 and 2,730.46 is: 3,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.54 : 5,853.44 = 2,730.46 : x
  2. Step 2: Convert to fraction form
    4,243.54/5,853.44 = 2,730.46/x
  3. Step 3: Cross multiply
    4,243.54x = 5,853.44 × 2,730.46
  4. Step 4: Simplify right side
    4,243.54x = 15,982,583.78
  5. Step 5: Solve for x
    x = 15,982,583.78/4,243.54
  6. Step 6: Final answer
    x = 3,766.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.