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Finding the Fourth Proportional to 5,952.12, 8,214.52 and 3,299.64

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Solution

The fourth proportional to 5,952.12, 8,214.52 and 3,299.64 is: 4,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.12 : 8,214.52 = 3,299.64 : x
  2. Step 2: Convert to fraction form
    5,952.12/8,214.52 = 3,299.64/x
  3. Step 3: Cross multiply
    5,952.12x = 8,214.52 × 3,299.64
  4. Step 4: Simplify right side
    5,952.12x = 27,104,958.77
  5. Step 5: Solve for x
    x = 27,104,958.77/5,952.12
  6. Step 6: Final answer
    x = 4,553.83

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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.