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Finding the Fourth Proportional to 4,674.09, 6,449.44 and 2,785.44

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Solution

The fourth proportional to 4,674.09, 6,449.44 and 2,785.44 is: 3,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.09 : 6,449.44 = 2,785.44 : x
  2. Step 2: Convert to fraction form
    4,674.09/6,449.44 = 2,785.44/x
  3. Step 3: Cross multiply
    4,674.09x = 6,449.44 × 2,785.44
  4. Step 4: Simplify right side
    4,674.09x = 17,964,528.15
  5. Step 5: Solve for x
    x = 17,964,528.15/4,674.09
  6. Step 6: Final answer
    x = 3,843.43

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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.