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Finding the Fourth Proportional to 6,149.45, 8,489.75 and 4,057.22

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Solution

The fourth proportional to 6,149.45, 8,489.75 and 4,057.22 is: 5,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.45 : 8,489.75 = 4,057.22 : x
  2. Step 2: Convert to fraction form
    6,149.45/8,489.75 = 4,057.22/x
  3. Step 3: Cross multiply
    6,149.45x = 8,489.75 × 4,057.22
  4. Step 4: Simplify right side
    6,149.45x = 34,444,720.76
  5. Step 5: Solve for x
    x = 34,444,720.76/6,149.45
  6. Step 6: Final answer
    x = 5,601.27

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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.