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Finding the Fourth Proportional to 5,674.98, 8,512.38 and 3,454.41

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Solution

The fourth proportional to 5,674.98, 8,512.38 and 3,454.41 is: 5,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.98 : 8,512.38 = 3,454.41 : x
  2. Step 2: Convert to fraction form
    5,674.98/8,512.38 = 3,454.41/x
  3. Step 3: Cross multiply
    5,674.98x = 8,512.38 × 3,454.41
  4. Step 4: Simplify right side
    5,674.98x = 29,405,250.60
  5. Step 5: Solve for x
    x = 29,405,250.60/5,674.98
  6. Step 6: Final answer
    x = 5,181.56

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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.