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Finding the Fourth Proportional to 4,486.34, 6,739.23 and 3,794.39

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Solution

The fourth proportional to 4,486.34, 6,739.23 and 3,794.39 is: 5,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.34 : 6,739.23 = 3,794.39 : x
  2. Step 2: Convert to fraction form
    4,486.34/6,739.23 = 3,794.39/x
  3. Step 3: Cross multiply
    4,486.34x = 6,739.23 × 3,794.39
  4. Step 4: Simplify right side
    4,486.34x = 25,571,266.92
  5. Step 5: Solve for x
    x = 25,571,266.92/4,486.34
  6. Step 6: Final answer
    x = 5,699.81

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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.