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Finding the Fourth Proportional to 4,471.84, 6,174.16 and 3,998.24

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Solution

The fourth proportional to 4,471.84, 6,174.16 and 3,998.24 is: 5,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.84 : 6,174.16 = 3,998.24 : x
  2. Step 2: Convert to fraction form
    4,471.84/6,174.16 = 3,998.24/x
  3. Step 3: Cross multiply
    4,471.84x = 6,174.16 × 3,998.24
  4. Step 4: Simplify right side
    4,471.84x = 24,685,773.48
  5. Step 5: Solve for x
    x = 24,685,773.48/4,471.84
  6. Step 6: Final answer
    x = 5,520.27

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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.