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Finding the Fourth Proportional to 6,128.46, 8,454.74 and 4,003.25

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Solution

The fourth proportional to 6,128.46, 8,454.74 and 4,003.25 is: 5,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.46 : 8,454.74 = 4,003.25 : x
  2. Step 2: Convert to fraction form
    6,128.46/8,454.74 = 4,003.25/x
  3. Step 3: Cross multiply
    6,128.46x = 8,454.74 × 4,003.25
  4. Step 4: Simplify right side
    6,128.46x = 33,846,469.05
  5. Step 5: Solve for x
    x = 33,846,469.05/6,128.46
  6. Step 6: Final answer
    x = 5,522.83

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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.