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Finding the Fourth Proportional to 3,779, 5,215.38 and 2,123

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Solution

The fourth proportional to 3,779, 5,215.38 and 2,123 is: 2,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779 : 5,215.38 = 2,123 : x
  2. Step 2: Convert to fraction form
    3,779/5,215.38 = 2,123/x
  3. Step 3: Cross multiply
    3,779x = 5,215.38 × 2,123
  4. Step 4: Simplify right side
    3,779x = 11,072,251.74
  5. Step 5: Solve for x
    x = 11,072,251.74/3,779
  6. Step 6: Final answer
    x = 2,929.94

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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.