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Finding the Fourth Proportional to 5,382.43, 8,073.60 and 3,189.58

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Solution

The fourth proportional to 5,382.43, 8,073.60 and 3,189.58 is: 4,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.43 : 8,073.60 = 3,189.58 : x
  2. Step 2: Convert to fraction form
    5,382.43/8,073.60 = 3,189.58/x
  3. Step 3: Cross multiply
    5,382.43x = 8,073.60 × 3,189.58
  4. Step 4: Simplify right side
    5,382.43x = 25,751,393.09
  5. Step 5: Solve for x
    x = 25,751,393.09/5,382.43
  6. Step 6: Final answer
    x = 4,784.34

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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.