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Finding the Fourth Proportional to 5,858.97, 8,085.26 and 3,206.42

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Solution

The fourth proportional to 5,858.97, 8,085.26 and 3,206.42 is: 4,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.97 : 8,085.26 = 3,206.42 : x
  2. Step 2: Convert to fraction form
    5,858.97/8,085.26 = 3,206.42/x
  3. Step 3: Cross multiply
    5,858.97x = 8,085.26 × 3,206.42
  4. Step 4: Simplify right side
    5,858.97x = 25,924,739.37
  5. Step 5: Solve for x
    x = 25,924,739.37/5,858.97
  6. Step 6: Final answer
    x = 4,424.79

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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.