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Finding the Fourth Proportional to 4,922.94, 7,379.73 and 3,162.99

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Solution

The fourth proportional to 4,922.94, 7,379.73 and 3,162.99 is: 4,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.94 : 7,379.73 = 3,162.99 : x
  2. Step 2: Convert to fraction form
    4,922.94/7,379.73 = 3,162.99/x
  3. Step 3: Cross multiply
    4,922.94x = 7,379.73 × 3,162.99
  4. Step 4: Simplify right side
    4,922.94x = 23,342,012.19
  5. Step 5: Solve for x
    x = 23,342,012.19/4,922.94
  6. Step 6: Final answer
    x = 4,741.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.