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Finding the Fourth Proportional to 3,865.25, 5,334.06 and 2,096.86

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Solution

The fourth proportional to 3,865.25, 5,334.06 and 2,096.86 is: 2,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.25 : 5,334.06 = 2,096.86 : x
  2. Step 2: Convert to fraction form
    3,865.25/5,334.06 = 2,096.86/x
  3. Step 3: Cross multiply
    3,865.25x = 5,334.06 × 2,096.86
  4. Step 4: Simplify right side
    3,865.25x = 11,184,769.73
  5. Step 5: Solve for x
    x = 11,184,769.73/3,865.25
  6. Step 6: Final answer
    x = 2,893.67

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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.