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Finding the Fourth Proportional to 3,471.89, 4,789.41 and 2,352.44

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Solution

The fourth proportional to 3,471.89, 4,789.41 and 2,352.44 is: 3,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.89 : 4,789.41 = 2,352.44 : x
  2. Step 2: Convert to fraction form
    3,471.89/4,789.41 = 2,352.44/x
  3. Step 3: Cross multiply
    3,471.89x = 4,789.41 × 2,352.44
  4. Step 4: Simplify right side
    3,471.89x = 11,266,799.66
  5. Step 5: Solve for x
    x = 11,266,799.66/3,471.89
  6. Step 6: Final answer
    x = 3,245.15

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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.