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Finding the Fourth Proportional to 3,872.41, 5,809.11 and 1,408.39

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Solution

The fourth proportional to 3,872.41, 5,809.11 and 1,408.39 is: 2,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.41 : 5,809.11 = 1,408.39 : x
  2. Step 2: Convert to fraction form
    3,872.41/5,809.11 = 1,408.39/x
  3. Step 3: Cross multiply
    3,872.41x = 5,809.11 × 1,408.39
  4. Step 4: Simplify right side
    3,872.41x = 8,181,492.43
  5. Step 5: Solve for x
    x = 8,181,492.43/3,872.41
  6. Step 6: Final answer
    x = 2,112.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.