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Finding the Fourth Proportional to 5,905.24, 8,149.82 and 4,410.57

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Solution

The fourth proportional to 5,905.24, 8,149.82 and 4,410.57 is: 6,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.24 : 8,149.82 = 4,410.57 : x
  2. Step 2: Convert to fraction form
    5,905.24/8,149.82 = 4,410.57/x
  3. Step 3: Cross multiply
    5,905.24x = 8,149.82 × 4,410.57
  4. Step 4: Simplify right side
    5,905.24x = 35,945,288.80
  5. Step 5: Solve for x
    x = 35,945,288.80/5,905.24
  6. Step 6: Final answer
    x = 6,087.02

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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.