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Finding the Fourth Proportional to 6,086.39, 8,400.42 and 3,433.85

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Solution

The fourth proportional to 6,086.39, 8,400.42 and 3,433.85 is: 4,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.39 : 8,400.42 = 3,433.85 : x
  2. Step 2: Convert to fraction form
    6,086.39/8,400.42 = 3,433.85/x
  3. Step 3: Cross multiply
    6,086.39x = 8,400.42 × 3,433.85
  4. Step 4: Simplify right side
    6,086.39x = 28,845,782.22
  5. Step 5: Solve for x
    x = 28,845,782.22/6,086.39
  6. Step 6: Final answer
    x = 4,739.39

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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.