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Finding the Fourth Proportional to 5,993.12, 8,270.22 and 3,340.46

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Solution

The fourth proportional to 5,993.12, 8,270.22 and 3,340.46 is: 4,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.12 : 8,270.22 = 3,340.46 : x
  2. Step 2: Convert to fraction form
    5,993.12/8,270.22 = 3,340.46/x
  3. Step 3: Cross multiply
    5,993.12x = 8,270.22 × 3,340.46
  4. Step 4: Simplify right side
    5,993.12x = 27,626,339.10
  5. Step 5: Solve for x
    x = 27,626,339.10/5,993.12
  6. Step 6: Final answer
    x = 4,609.68

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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.