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Finding the Fourth Proportional to 5,633.80, 8,448.56 and 2,255.56

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Solution

The fourth proportional to 5,633.80, 8,448.56 and 2,255.56 is: 3,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.80 : 8,448.56 = 2,255.56 : x
  2. Step 2: Convert to fraction form
    5,633.80/8,448.56 = 2,255.56/x
  3. Step 3: Cross multiply
    5,633.80x = 8,448.56 × 2,255.56
  4. Step 4: Simplify right side
    5,633.80x = 19,056,233.99
  5. Step 5: Solve for x
    x = 19,056,233.99/5,633.80
  6. Step 6: Final answer
    x = 3,382.48

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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.