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Finding the Fourth Proportional to 6,144.82, 8,480.46 and 3,627.76

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Solution

The fourth proportional to 6,144.82, 8,480.46 and 3,627.76 is: 5,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.82 : 8,480.46 = 3,627.76 : x
  2. Step 2: Convert to fraction form
    6,144.82/8,480.46 = 3,627.76/x
  3. Step 3: Cross multiply
    6,144.82x = 8,480.46 × 3,627.76
  4. Step 4: Simplify right side
    6,144.82x = 30,765,073.57
  5. Step 5: Solve for x
    x = 30,765,073.57/6,144.82
  6. Step 6: Final answer
    x = 5,006.67

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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.