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Finding the Fourth Proportional to 3,980.82, 5,494.05 and 2,408.94

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Solution

The fourth proportional to 3,980.82, 5,494.05 and 2,408.94 is: 3,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.82 : 5,494.05 = 2,408.94 : x
  2. Step 2: Convert to fraction form
    3,980.82/5,494.05 = 2,408.94/x
  3. Step 3: Cross multiply
    3,980.82x = 5,494.05 × 2,408.94
  4. Step 4: Simplify right side
    3,980.82x = 13,234,836.81
  5. Step 5: Solve for x
    x = 13,234,836.81/3,980.82
  6. Step 6: Final answer
    x = 3,324.65

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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.