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Finding the Fourth Proportional to 4,923.25, 7,378.69 and 3,879.14

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Solution

The fourth proportional to 4,923.25, 7,378.69 and 3,879.14 is: 5,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.25 : 7,378.69 = 3,879.14 : x
  2. Step 2: Convert to fraction form
    4,923.25/7,378.69 = 3,879.14/x
  3. Step 3: Cross multiply
    4,923.25x = 7,378.69 × 3,879.14
  4. Step 4: Simplify right side
    4,923.25x = 28,622,971.53
  5. Step 5: Solve for x
    x = 28,622,971.53/4,923.25
  6. Step 6: Final answer
    x = 5,813.84

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