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Finding the Fourth Proportional to 4,468.92, 6,677.76 and 3,408.92

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Solution

The fourth proportional to 4,468.92, 6,677.76 and 3,408.92 is: 5,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.92 : 6,677.76 = 3,408.92 : x
  2. Step 2: Convert to fraction form
    4,468.92/6,677.76 = 3,408.92/x
  3. Step 3: Cross multiply
    4,468.92x = 6,677.76 × 3,408.92
  4. Step 4: Simplify right side
    4,468.92x = 22,763,949.62
  5. Step 5: Solve for x
    x = 22,763,949.62/4,468.92
  6. Step 6: Final answer
    x = 5,093.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.