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Finding the Fourth Proportional to 3,778.69, 5,214.71 and 2,286.88

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Solution

The fourth proportional to 3,778.69, 5,214.71 and 2,286.88 is: 3,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.69 : 5,214.71 = 2,286.88 : x
  2. Step 2: Convert to fraction form
    3,778.69/5,214.71 = 2,286.88/x
  3. Step 3: Cross multiply
    3,778.69x = 5,214.71 × 2,286.88
  4. Step 4: Simplify right side
    3,778.69x = 11,925,416.00
  5. Step 5: Solve for x
    x = 11,925,416.00/3,778.69
  6. Step 6: Final answer
    x = 3,155.97

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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.