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Finding the Fourth Proportional to 5,992.74, 8,269.64 and 3,340.06

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Solution

The fourth proportional to 5,992.74, 8,269.64 and 3,340.06 is: 4,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.74 : 8,269.64 = 3,340.06 : x
  2. Step 2: Convert to fraction form
    5,992.74/8,269.64 = 3,340.06/x
  3. Step 3: Cross multiply
    5,992.74x = 8,269.64 × 3,340.06
  4. Step 4: Simplify right side
    5,992.74x = 27,621,093.78
  5. Step 5: Solve for x
    x = 27,621,093.78/5,992.74
  6. Step 6: Final answer
    x = 4,609.09

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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.