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Finding the Fourth Proportional to 5,486.35, 8,213.37 and 3,399.65

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Solution

The fourth proportional to 5,486.35, 8,213.37 and 3,399.65 is: 5,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.35 : 8,213.37 = 3,399.65 : x
  2. Step 2: Convert to fraction form
    5,486.35/8,213.37 = 3,399.65/x
  3. Step 3: Cross multiply
    5,486.35x = 8,213.37 × 3,399.65
  4. Step 4: Simplify right side
    5,486.35x = 27,922,529.50
  5. Step 5: Solve for x
    x = 27,922,529.50/5,486.35
  6. Step 6: Final answer
    x = 5,089.46

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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.