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Finding the Fourth Proportional to 4,471.89, 6,168.99 and 3,633.54

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Solution

The fourth proportional to 4,471.89, 6,168.99 and 3,633.54 is: 5,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.89 : 6,168.99 = 3,633.54 : x
  2. Step 2: Convert to fraction form
    4,471.89/6,168.99 = 3,633.54/x
  3. Step 3: Cross multiply
    4,471.89x = 6,168.99 × 3,633.54
  4. Step 4: Simplify right side
    4,471.89x = 22,415,271.92
  5. Step 5: Solve for x
    x = 22,415,271.92/4,471.89
  6. Step 6: Final answer
    x = 5,012.48

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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.