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Finding the Fourth Proportional to 6,092.96, 8,408.79 and 3,440.30

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Solution

The fourth proportional to 6,092.96, 8,408.79 and 3,440.30 is: 4,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.96 : 8,408.79 = 3,440.30 : x
  2. Step 2: Convert to fraction form
    6,092.96/8,408.79 = 3,440.30/x
  3. Step 3: Cross multiply
    6,092.96x = 8,408.79 × 3,440.30
  4. Step 4: Simplify right side
    6,092.96x = 28,928,718.19
  5. Step 5: Solve for x
    x = 28,928,718.19/6,092.96
  6. Step 6: Final answer
    x = 4,747.90

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1.5x scale

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.