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Finding the Fourth Proportional to 3,647.37, 5,029.23 and 3,171.09

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Solution

The fourth proportional to 3,647.37, 5,029.23 and 3,171.09 is: 4,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.37 : 5,029.23 = 3,171.09 : x
  2. Step 2: Convert to fraction form
    3,647.37/5,029.23 = 3,171.09/x
  3. Step 3: Cross multiply
    3,647.37x = 5,029.23 × 3,171.09
  4. Step 4: Simplify right side
    3,647.37x = 15,948,134.50
  5. Step 5: Solve for x
    x = 15,948,134.50/3,647.37
  6. Step 6: Final answer
    x = 4,372.50

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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.