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Finding the Fourth Proportional to 5,956, 8,219.36 and 3,473.44

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Solution

The fourth proportional to 5,956, 8,219.36 and 3,473.44 is: 4,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956 : 8,219.36 = 3,473.44 : x
  2. Step 2: Convert to fraction form
    5,956/8,219.36 = 3,473.44/x
  3. Step 3: Cross multiply
    5,956x = 8,219.36 × 3,473.44
  4. Step 4: Simplify right side
    5,956x = 28,549,453.80
  5. Step 5: Solve for x
    x = 28,549,453.80/5,956
  6. Step 6: Final answer
    x = 4,793.39

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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.