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Finding the Fourth Proportional to 5,958.69, 8,222.83 and 3,406.56

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Solution

The fourth proportional to 5,958.69, 8,222.83 and 3,406.56 is: 4,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.69 : 8,222.83 = 3,406.56 : x
  2. Step 2: Convert to fraction form
    5,958.69/8,222.83 = 3,406.56/x
  3. Step 3: Cross multiply
    5,958.69x = 8,222.83 × 3,406.56
  4. Step 4: Simplify right side
    5,958.69x = 28,011,563.76
  5. Step 5: Solve for x
    x = 28,011,563.76/5,958.69
  6. Step 6: Final answer
    x = 4,700.96

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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.