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Finding the Fourth Proportional to 3,924.94, 5,416.90 and 2,268.94

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Solution

The fourth proportional to 3,924.94, 5,416.90 and 2,268.94 is: 3,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.94 : 5,416.90 = 2,268.94 : x
  2. Step 2: Convert to fraction form
    3,924.94/5,416.90 = 2,268.94/x
  3. Step 3: Cross multiply
    3,924.94x = 5,416.90 × 2,268.94
  4. Step 4: Simplify right side
    3,924.94x = 12,290,621.09
  5. Step 5: Solve for x
    x = 12,290,621.09/3,924.94
  6. Step 6: Final answer
    x = 3,131.42

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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.