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Finding the Fourth Proportional to 5,408.30, 7,463.54 and 3,170.48

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Solution

The fourth proportional to 5,408.30, 7,463.54 and 3,170.48 is: 4,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.30 : 7,463.54 = 3,170.48 : x
  2. Step 2: Convert to fraction form
    5,408.30/7,463.54 = 3,170.48/x
  3. Step 3: Cross multiply
    5,408.30x = 7,463.54 × 3,170.48
  4. Step 4: Simplify right side
    5,408.30x = 23,662,974.91
  5. Step 5: Solve for x
    x = 23,662,974.91/5,408.30
  6. Step 6: Final answer
    x = 4,375.31

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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.