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Finding the Fourth Proportional to 3,919.32, 5,408.37 and 2,347.11

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Solution

The fourth proportional to 3,919.32, 5,408.37 and 2,347.11 is: 3,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.32 : 5,408.37 = 2,347.11 : x
  2. Step 2: Convert to fraction form
    3,919.32/5,408.37 = 2,347.11/x
  3. Step 3: Cross multiply
    3,919.32x = 5,408.37 × 2,347.11
  4. Step 4: Simplify right side
    3,919.32x = 12,694,039.31
  5. Step 5: Solve for x
    x = 12,694,039.31/3,919.32
  6. Step 6: Final answer
    x = 3,238.84

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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.