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Finding the Fourth Proportional to 6,410.86, 8,844.52 and 3,757.30

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Solution

The fourth proportional to 6,410.86, 8,844.52 and 3,757.30 is: 5,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.86 : 8,844.52 = 3,757.30 : x
  2. Step 2: Convert to fraction form
    6,410.86/8,844.52 = 3,757.30/x
  3. Step 3: Cross multiply
    6,410.86x = 8,844.52 × 3,757.30
  4. Step 4: Simplify right side
    6,410.86x = 33,231,515.00
  5. Step 5: Solve for x
    x = 33,231,515.00/6,410.86
  6. Step 6: Final answer
    x = 5,183.63

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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.