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Finding the Fourth Proportional to 5,640.49, 7,775.72 and 3,956.67

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Solution

The fourth proportional to 5,640.49, 7,775.72 and 3,956.67 is: 5,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.49 : 7,775.72 = 3,956.67 : x
  2. Step 2: Convert to fraction form
    5,640.49/7,775.72 = 3,956.67/x
  3. Step 3: Cross multiply
    5,640.49x = 7,775.72 × 3,956.67
  4. Step 4: Simplify right side
    5,640.49x = 30,765,958.05
  5. Step 5: Solve for x
    x = 30,765,958.05/5,640.49
  6. Step 6: Final answer
    x = 5,454.48

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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.