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Finding the Fourth Proportional to 3,789.77, 5,229.80 and 2,111.17

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Solution

The fourth proportional to 3,789.77, 5,229.80 and 2,111.17 is: 2,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.77 : 5,229.80 = 2,111.17 : x
  2. Step 2: Convert to fraction form
    3,789.77/5,229.80 = 2,111.17/x
  3. Step 3: Cross multiply
    3,789.77x = 5,229.80 × 2,111.17
  4. Step 4: Simplify right side
    3,789.77x = 11,041,012.64
  5. Step 5: Solve for x
    x = 11,041,012.64/3,789.77
  6. Step 6: Final answer
    x = 2,913.37

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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.