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Finding the Fourth Proportional to 5,471.42, 8,193.97 and 3,124.31

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Solution

The fourth proportional to 5,471.42, 8,193.97 and 3,124.31 is: 4,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.42 : 8,193.97 = 3,124.31 : x
  2. Step 2: Convert to fraction form
    5,471.42/8,193.97 = 3,124.31/x
  3. Step 3: Cross multiply
    5,471.42x = 8,193.97 × 3,124.31
  4. Step 4: Simplify right side
    5,471.42x = 25,600,511.44
  5. Step 5: Solve for x
    x = 25,600,511.44/5,471.42
  6. Step 6: Final answer
    x = 4,678.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.