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Finding the Fourth Proportional to 3,408.82, 4,712.56 and 3,377.64

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Solution

The fourth proportional to 3,408.82, 4,712.56 and 3,377.64 is: 4,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.82 : 4,712.56 = 3,377.64 : x
  2. Step 2: Convert to fraction form
    3,408.82/4,712.56 = 3,377.64/x
  3. Step 3: Cross multiply
    3,408.82x = 4,712.56 × 3,377.64
  4. Step 4: Simplify right side
    3,408.82x = 15,917,290.71
  5. Step 5: Solve for x
    x = 15,917,290.71/3,408.82
  6. Step 6: Final answer
    x = 4,669.44

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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.