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Finding the Fourth Proportional to 5,993.86, 8,271.36 and 3,441.54

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Solution

The fourth proportional to 5,993.86, 8,271.36 and 3,441.54 is: 4,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.86 : 8,271.36 = 3,441.54 : x
  2. Step 2: Convert to fraction form
    5,993.86/8,271.36 = 3,441.54/x
  3. Step 3: Cross multiply
    5,993.86x = 8,271.36 × 3,441.54
  4. Step 4: Simplify right side
    5,993.86x = 28,466,216.29
  5. Step 5: Solve for x
    x = 28,466,216.29/5,993.86
  6. Step 6: Final answer
    x = 4,749.23

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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.