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Finding the Fourth Proportional to 5,992.12, 8,269.14 and 3,340.06

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Solution

The fourth proportional to 5,992.12, 8,269.14 and 3,340.06 is: 4,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.12 : 8,269.14 = 3,340.06 : x
  2. Step 2: Convert to fraction form
    5,992.12/8,269.14 = 3,340.06/x
  3. Step 3: Cross multiply
    5,992.12x = 8,269.14 × 3,340.06
  4. Step 4: Simplify right side
    5,992.12x = 27,619,423.75
  5. Step 5: Solve for x
    x = 27,619,423.75/5,992.12
  6. Step 6: Final answer
    x = 4,609.29

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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.