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Finding the Fourth Proportional to 6,093.28, 8,408.73 and 3,440.86

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Solution

The fourth proportional to 6,093.28, 8,408.73 and 3,440.86 is: 4,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.28 : 8,408.73 = 3,440.86 : x
  2. Step 2: Convert to fraction form
    6,093.28/8,408.73 = 3,440.86/x
  3. Step 3: Cross multiply
    6,093.28x = 8,408.73 × 3,440.86
  4. Step 4: Simplify right side
    6,093.28x = 28,933,203.46
  5. Step 5: Solve for x
    x = 28,933,203.46/6,093.28
  6. Step 6: Final answer
    x = 4,748.38

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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.