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Finding the Fourth Proportional to 3,745.23, 5,171 and 2,329.48

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Solution

The fourth proportional to 3,745.23, 5,171 and 2,329.48 is: 3,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.23 : 5,171 = 2,329.48 : x
  2. Step 2: Convert to fraction form
    3,745.23/5,171 = 2,329.48/x
  3. Step 3: Cross multiply
    3,745.23x = 5,171 × 2,329.48
  4. Step 4: Simplify right side
    3,745.23x = 12,045,741.08
  5. Step 5: Solve for x
    x = 12,045,741.08/3,745.23
  6. Step 6: Final answer
    x = 3,216.29

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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.