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Finding the Fourth Proportional to 4,843.40, 7,268.70 and 1,882.31

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Solution

The fourth proportional to 4,843.40, 7,268.70 and 1,882.31 is: 2,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.40 : 7,268.70 = 1,882.31 : x
  2. Step 2: Convert to fraction form
    4,843.40/7,268.70 = 1,882.31/x
  3. Step 3: Cross multiply
    4,843.40x = 7,268.70 × 1,882.31
  4. Step 4: Simplify right side
    4,843.40x = 13,681,917.41
  5. Step 5: Solve for x
    x = 13,681,917.41/4,843.40
  6. Step 6: Final answer
    x = 2,824.86

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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.