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Finding the Fourth Proportional to 3,769.08, 5,201.63 and 2,091

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Solution

The fourth proportional to 3,769.08, 5,201.63 and 2,091 is: 2,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.08 : 5,201.63 = 2,091 : x
  2. Step 2: Convert to fraction form
    3,769.08/5,201.63 = 2,091/x
  3. Step 3: Cross multiply
    3,769.08x = 5,201.63 × 2,091
  4. Step 4: Simplify right side
    3,769.08x = 10,876,608.33
  5. Step 5: Solve for x
    x = 10,876,608.33/3,769.08
  6. Step 6: Final answer
    x = 2,885.75

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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.