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Finding the Fourth Proportional to 5,858.09, 8,084.14 and 3,169.31

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Solution

The fourth proportional to 5,858.09, 8,084.14 and 3,169.31 is: 4,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.09 : 8,084.14 = 3,169.31 : x
  2. Step 2: Convert to fraction form
    5,858.09/8,084.14 = 3,169.31/x
  3. Step 3: Cross multiply
    5,858.09x = 8,084.14 × 3,169.31
  4. Step 4: Simplify right side
    5,858.09x = 25,621,172.54
  5. Step 5: Solve for x
    x = 25,621,172.54/5,858.09
  6. Step 6: Final answer
    x = 4,373.64

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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.