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Finding the Fourth Proportional to 5,958.26, 8,212.84 and 4,697.22

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Solution

The fourth proportional to 5,958.26, 8,212.84 and 4,697.22 is: 6,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.26 : 8,212.84 = 4,697.22 : x
  2. Step 2: Convert to fraction form
    5,958.26/8,212.84 = 4,697.22/x
  3. Step 3: Cross multiply
    5,958.26x = 8,212.84 × 4,697.22
  4. Step 4: Simplify right side
    5,958.26x = 38,577,516.30
  5. Step 5: Solve for x
    x = 38,577,516.30/5,958.26
  6. Step 6: Final answer
    x = 6,474.63

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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.