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Finding the Fourth Proportional to 4,799.31, 7,189.37 and 3,813.80

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Solution

The fourth proportional to 4,799.31, 7,189.37 and 3,813.80 is: 5,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.31 : 7,189.37 = 3,813.80 : x
  2. Step 2: Convert to fraction form
    4,799.31/7,189.37 = 3,813.80/x
  3. Step 3: Cross multiply
    4,799.31x = 7,189.37 × 3,813.80
  4. Step 4: Simplify right side
    4,799.31x = 27,418,800.04
  5. Step 5: Solve for x
    x = 27,418,800.04/4,799.31
  6. Step 6: Final answer
    x = 5,713.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.