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Finding the Fourth Proportional to 6,092.87, 8,408.10 and 3,441.14

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Solution

The fourth proportional to 6,092.87, 8,408.10 and 3,441.14 is: 4,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.87 : 8,408.10 = 3,441.14 : x
  2. Step 2: Convert to fraction form
    6,092.87/8,408.10 = 3,441.14/x
  3. Step 3: Cross multiply
    6,092.87x = 8,408.10 × 3,441.14
  4. Step 4: Simplify right side
    6,092.87x = 28,933,449.23
  5. Step 5: Solve for x
    x = 28,933,449.23/6,092.87
  6. Step 6: Final answer
    x = 4,748.74

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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.