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Finding the Fourth Proportional to 3,769.95, 5,202.03 and 2,091.27

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Solution

The fourth proportional to 3,769.95, 5,202.03 and 2,091.27 is: 2,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.95 : 5,202.03 = 2,091.27 : x
  2. Step 2: Convert to fraction form
    3,769.95/5,202.03 = 2,091.27/x
  3. Step 3: Cross multiply
    3,769.95x = 5,202.03 × 2,091.27
  4. Step 4: Simplify right side
    3,769.95x = 10,878,849.28
  5. Step 5: Solve for x
    x = 10,878,849.28/3,769.95
  6. Step 6: Final answer
    x = 2,885.67

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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.