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Finding the Fourth Proportional to 6,092.90, 8,408.20 and 3,440.86

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Solution

The fourth proportional to 6,092.90, 8,408.20 and 3,440.86 is: 4,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.90 : 8,408.20 = 3,440.86 : x
  2. Step 2: Convert to fraction form
    6,092.90/8,408.20 = 3,440.86/x
  3. Step 3: Cross multiply
    6,092.90x = 8,408.20 × 3,440.86
  4. Step 4: Simplify right side
    6,092.90x = 28,931,439.05
  5. Step 5: Solve for x
    x = 28,931,439.05/6,092.90
  6. Step 6: Final answer
    x = 4,748.39

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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.