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Finding the Fourth Proportional to 3,769.92, 5,202.47 and 2,091.33

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Solution

The fourth proportional to 3,769.92, 5,202.47 and 2,091.33 is: 2,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.92 : 5,202.47 = 2,091.33 : x
  2. Step 2: Convert to fraction form
    3,769.92/5,202.47 = 2,091.33/x
  3. Step 3: Cross multiply
    3,769.92x = 5,202.47 × 2,091.33
  4. Step 4: Simplify right side
    3,769.92x = 10,880,071.13
  5. Step 5: Solve for x
    x = 10,880,071.13/3,769.92
  6. Step 6: Final answer
    x = 2,886.02

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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.