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Finding the Fourth Proportional to 3,789.68, 5,229.06 and 2,111.01

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Solution

The fourth proportional to 3,789.68, 5,229.06 and 2,111.01 is: 2,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.68 : 5,229.06 = 2,111.01 : x
  2. Step 2: Convert to fraction form
    3,789.68/5,229.06 = 2,111.01/x
  3. Step 3: Cross multiply
    3,789.68x = 5,229.06 × 2,111.01
  4. Step 4: Simplify right side
    3,789.68x = 11,038,597.95
  5. Step 5: Solve for x
    x = 11,038,597.95/3,789.68
  6. Step 6: Final answer
    x = 2,912.81

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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.