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Finding the Fourth Proportional to 3,278.58, 4,524.43 and 1,786.49

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Solution

The fourth proportional to 3,278.58, 4,524.43 and 1,786.49 is: 2,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.58 : 4,524.43 = 1,786.49 : x
  2. Step 2: Convert to fraction form
    3,278.58/4,524.43 = 1,786.49/x
  3. Step 3: Cross multiply
    3,278.58x = 4,524.43 × 1,786.49
  4. Step 4: Simplify right side
    3,278.58x = 8,082,862.44
  5. Step 5: Solve for x
    x = 8,082,862.44/3,278.58
  6. Step 6: Final answer
    x = 2,465.36

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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.