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Finding the Fourth Proportional to 5,998.14, 8,277.15 and 3,309.45

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Solution

The fourth proportional to 5,998.14, 8,277.15 and 3,309.45 is: 4,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.14 : 8,277.15 = 3,309.45 : x
  2. Step 2: Convert to fraction form
    5,998.14/8,277.15 = 3,309.45/x
  3. Step 3: Cross multiply
    5,998.14x = 8,277.15 × 3,309.45
  4. Step 4: Simplify right side
    5,998.14x = 27,392,814.07
  5. Step 5: Solve for x
    x = 27,392,814.07/5,998.14
  6. Step 6: Final answer
    x = 4,566.88

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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.