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Finding the Fourth Proportional to 3,863.64, 5,766.84 and 3,770.40

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Solution

The fourth proportional to 3,863.64, 5,766.84 and 3,770.40 is: 5,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.64 : 5,766.84 = 3,770.40 : x
  2. Step 2: Convert to fraction form
    3,863.64/5,766.84 = 3,770.40/x
  3. Step 3: Cross multiply
    3,863.64x = 5,766.84 × 3,770.40
  4. Step 4: Simplify right side
    3,863.64x = 21,743,293.54
  5. Step 5: Solve for x
    x = 21,743,293.54/3,863.64
  6. Step 6: Final answer
    x = 5,627.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.