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Finding the Fourth Proportional to 5,956.62, 8,219.99 and 3,404.49

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Solution

The fourth proportional to 5,956.62, 8,219.99 and 3,404.49 is: 4,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.62 : 8,219.99 = 3,404.49 : x
  2. Step 2: Convert to fraction form
    5,956.62/8,219.99 = 3,404.49/x
  3. Step 3: Cross multiply
    5,956.62x = 8,219.99 × 3,404.49
  4. Step 4: Simplify right side
    5,956.62x = 27,984,873.76
  5. Step 5: Solve for x
    x = 27,984,873.76/5,956.62
  6. Step 6: Final answer
    x = 4,698.11

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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.