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Finding the Fourth Proportional to 5,932.69, 8,186.79 and 3,279.94

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Solution

The fourth proportional to 5,932.69, 8,186.79 and 3,279.94 is: 4,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.69 : 8,186.79 = 3,279.94 : x
  2. Step 2: Convert to fraction form
    5,932.69/8,186.79 = 3,279.94/x
  3. Step 3: Cross multiply
    5,932.69x = 8,186.79 × 3,279.94
  4. Step 4: Simplify right side
    5,932.69x = 26,852,163.59
  5. Step 5: Solve for x
    x = 26,852,163.59/5,932.69
  6. Step 6: Final answer
    x = 4,526.14

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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.