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Finding the Fourth Proportional to 4,342.94, 5,993.22 and 2,353.44

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Solution

The fourth proportional to 4,342.94, 5,993.22 and 2,353.44 is: 3,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.94 : 5,993.22 = 2,353.44 : x
  2. Step 2: Convert to fraction form
    4,342.94/5,993.22 = 2,353.44/x
  3. Step 3: Cross multiply
    4,342.94x = 5,993.22 × 2,353.44
  4. Step 4: Simplify right side
    4,342.94x = 14,104,683.68
  5. Step 5: Solve for x
    x = 14,104,683.68/4,342.94
  6. Step 6: Final answer
    x = 3,247.73

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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.