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Finding the Fourth Proportional to 3,278.56, 4,524.35 and 1,786.49

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Solution

The fourth proportional to 3,278.56, 4,524.35 and 1,786.49 is: 2,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.56 : 4,524.35 = 1,786.49 : x
  2. Step 2: Convert to fraction form
    3,278.56/4,524.35 = 1,786.49/x
  3. Step 3: Cross multiply
    3,278.56x = 4,524.35 × 1,786.49
  4. Step 4: Simplify right side
    3,278.56x = 8,082,678.94
  5. Step 5: Solve for x
    x = 8,082,678.94/3,278.56
  6. Step 6: Final answer
    x = 2,465.32

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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.