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Finding the Fourth Proportional to 3,905.94, 5,837.96 and 3,408.42

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Solution

The fourth proportional to 3,905.94, 5,837.96 and 3,408.42 is: 5,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.94 : 5,837.96 = 3,408.42 : x
  2. Step 2: Convert to fraction form
    3,905.94/5,837.96 = 3,408.42/x
  3. Step 3: Cross multiply
    3,905.94x = 5,837.96 × 3,408.42
  4. Step 4: Simplify right side
    3,905.94x = 19,898,202.58
  5. Step 5: Solve for x
    x = 19,898,202.58/3,905.94
  6. Step 6: Final answer
    x = 5,094.34

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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.