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Finding the Fourth Proportional to 6,086.42, 8,398.29 and 3,433.77

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Solution

The fourth proportional to 6,086.42, 8,398.29 and 3,433.77 is: 4,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.42 : 8,398.29 = 3,433.77 : x
  2. Step 2: Convert to fraction form
    6,086.42/8,398.29 = 3,433.77/x
  3. Step 3: Cross multiply
    6,086.42x = 8,398.29 × 3,433.77
  4. Step 4: Simplify right side
    6,086.42x = 28,837,796.25
  5. Step 5: Solve for x
    x = 28,837,796.25/6,086.42
  6. Step 6: Final answer
    x = 4,738.06

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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.