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Finding the Fourth Proportional to 3,818.95, 5,728.73 and 1,627.70

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Solution

The fourth proportional to 3,818.95, 5,728.73 and 1,627.70 is: 2,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.95 : 5,728.73 = 1,627.70 : x
  2. Step 2: Convert to fraction form
    3,818.95/5,728.73 = 1,627.70/x
  3. Step 3: Cross multiply
    3,818.95x = 5,728.73 × 1,627.70
  4. Step 4: Simplify right side
    3,818.95x = 9,324,617.04
  5. Step 5: Solve for x
    x = 9,324,617.04/3,818.95
  6. Step 6: Final answer
    x = 2,441.67

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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.