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Finding the Fourth Proportional to 3,874.56, 5,811.84 and 2,578.56

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Solution

The fourth proportional to 3,874.56, 5,811.84 and 2,578.56 is: 3,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.56 : 5,811.84 = 2,578.56 : x
  2. Step 2: Convert to fraction form
    3,874.56/5,811.84 = 2,578.56/x
  3. Step 3: Cross multiply
    3,874.56x = 5,811.84 × 2,578.56
  4. Step 4: Simplify right side
    3,874.56x = 14,986,178.15
  5. Step 5: Solve for x
    x = 14,986,178.15/3,874.56
  6. Step 6: Final answer
    x = 3,867.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.