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Finding the Fourth Proportional to 4,232.26, 5,837.16 and 3,949.30

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Solution

The fourth proportional to 4,232.26, 5,837.16 and 3,949.30 is: 5,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.26 : 5,837.16 = 3,949.30 : x
  2. Step 2: Convert to fraction form
    4,232.26/5,837.16 = 3,949.30/x
  3. Step 3: Cross multiply
    4,232.26x = 5,837.16 × 3,949.30
  4. Step 4: Simplify right side
    4,232.26x = 23,052,695.99
  5. Step 5: Solve for x
    x = 23,052,695.99/4,232.26
  6. Step 6: Final answer
    x = 5,446.90

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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.