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Finding the Fourth Proportional to 3,278.35, 4,523.96 and 1,786.26

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Solution

The fourth proportional to 3,278.35, 4,523.96 and 1,786.26 is: 2,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.35 : 4,523.96 = 1,786.26 : x
  2. Step 2: Convert to fraction form
    3,278.35/4,523.96 = 1,786.26/x
  3. Step 3: Cross multiply
    3,278.35x = 4,523.96 × 1,786.26
  4. Step 4: Simplify right side
    3,278.35x = 8,080,959.86
  5. Step 5: Solve for x
    x = 8,080,959.86/3,278.35
  6. Step 6: Final answer
    x = 2,464.95

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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.