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Finding the Fourth Proportional to 3,778.56, 5,214.57 and 2,286.21

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Solution

The fourth proportional to 3,778.56, 5,214.57 and 2,286.21 is: 3,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,214.57 = 2,286.21 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,214.57 = 2,286.21/x
  3. Step 3: Cross multiply
    3,778.56x = 5,214.57 × 2,286.21
  4. Step 4: Simplify right side
    3,778.56x = 11,921,602.08
  5. Step 5: Solve for x
    x = 11,921,602.08/3,778.56
  6. Step 6: Final answer
    x = 3,155.06

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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.