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Finding the Fourth Proportional to 3,278.22, 4,523.93 and 1,786.10

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Solution

The fourth proportional to 3,278.22, 4,523.93 and 1,786.10 is: 2,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.22 : 4,523.93 = 1,786.10 : x
  2. Step 2: Convert to fraction form
    3,278.22/4,523.93 = 1,786.10/x
  3. Step 3: Cross multiply
    3,278.22x = 4,523.93 × 1,786.10
  4. Step 4: Simplify right side
    3,278.22x = 8,080,202.01
  5. Step 5: Solve for x
    x = 8,080,202.01/3,278.22
  6. Step 6: Final answer
    x = 2,464.81

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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.