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Finding the Fourth Proportional to 6,092.48, 8,408.16 and 3,439.76

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Solution

The fourth proportional to 6,092.48, 8,408.16 and 3,439.76 is: 4,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.48 : 8,408.16 = 3,439.76 : x
  2. Step 2: Convert to fraction form
    6,092.48/8,408.16 = 3,439.76/x
  3. Step 3: Cross multiply
    6,092.48x = 8,408.16 × 3,439.76
  4. Step 4: Simplify right side
    6,092.48x = 28,922,052.44
  5. Step 5: Solve for x
    x = 28,922,052.44/6,092.48
  6. Step 6: Final answer
    x = 4,747.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.