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Finding the Fourth Proportional to 4,322.86, 6,480.49 and 2,563.54

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Solution

The fourth proportional to 4,322.86, 6,480.49 and 2,563.54 is: 3,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.86 : 6,480.49 = 2,563.54 : x
  2. Step 2: Convert to fraction form
    4,322.86/6,480.49 = 2,563.54/x
  3. Step 3: Cross multiply
    4,322.86x = 6,480.49 × 2,563.54
  4. Step 4: Simplify right side
    4,322.86x = 16,612,995.33
  5. Step 5: Solve for x
    x = 16,612,995.33/4,322.86
  6. Step 6: Final answer
    x = 3,843.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.