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Finding the Fourth Proportional to 5,879, 8,113.74 and 3,395

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Solution

The fourth proportional to 5,879, 8,113.74 and 3,395 is: 4,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879 : 8,113.74 = 3,395 : x
  2. Step 2: Convert to fraction form
    5,879/8,113.74 = 3,395/x
  3. Step 3: Cross multiply
    5,879x = 8,113.74 × 3,395
  4. Step 4: Simplify right side
    5,879x = 27,546,147.30
  5. Step 5: Solve for x
    x = 27,546,147.30/5,879
  6. Step 6: Final answer
    x = 4,685.52

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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.