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Finding the Fourth Proportional to 4,228, 6,342 and 1,796

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Solution

The fourth proportional to 4,228, 6,342 and 1,796 is: 2,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228 : 6,342 = 1,796 : x
  2. Step 2: Convert to fraction form
    4,228/6,342 = 1,796/x
  3. Step 3: Cross multiply
    4,228x = 6,342 × 1,796
  4. Step 4: Simplify right side
    4,228x = 11,390,232
  5. Step 5: Solve for x
    x = 11,390,232/4,228
  6. Step 6: Final answer
    x = 2,694

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Why These Related Problems?

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