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Finding the Fourth Proportional to 3,278.25, 4,523.93 and 1,786.18

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Solution

The fourth proportional to 3,278.25, 4,523.93 and 1,786.18 is: 2,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.25 : 4,523.93 = 1,786.18 : x
  2. Step 2: Convert to fraction form
    3,278.25/4,523.93 = 1,786.18/x
  3. Step 3: Cross multiply
    3,278.25x = 4,523.93 × 1,786.18
  4. Step 4: Simplify right side
    3,278.25x = 8,080,560.06
  5. Step 5: Solve for x
    x = 8,080,560.06/3,278.25
  6. Step 6: Final answer
    x = 2,464.90

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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.