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Finding the Fourth Proportional to 3,778, 5,214 and 2,122

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Solution

The fourth proportional to 3,778, 5,214 and 2,122 is: 2,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778 : 5,214 = 2,122 : x
  2. Step 2: Convert to fraction form
    3,778/5,214 = 2,122/x
  3. Step 3: Cross multiply
    3,778x = 5,214 × 2,122
  4. Step 4: Simplify right side
    3,778x = 11,064,108
  5. Step 5: Solve for x
    x = 11,064,108/3,778
  6. Step 6: Final answer
    x = 2,928.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.