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Finding the Fourth Proportional to 5,998.46, 8,277.68 and 3,309.68

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Solution

The fourth proportional to 5,998.46, 8,277.68 and 3,309.68 is: 4,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.46 : 8,277.68 = 3,309.68 : x
  2. Step 2: Convert to fraction form
    5,998.46/8,277.68 = 3,309.68/x
  3. Step 3: Cross multiply
    5,998.46x = 8,277.68 × 3,309.68
  4. Step 4: Simplify right side
    5,998.46x = 27,396,438.83
  5. Step 5: Solve for x
    x = 27,396,438.83/5,998.46
  6. Step 6: Final answer
    x = 4,567.24

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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.