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Finding the Fourth Proportional to 5,766.22, 8,647.73 and 2,255.51

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Solution

The fourth proportional to 5,766.22, 8,647.73 and 2,255.51 is: 3,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.22 : 8,647.73 = 2,255.51 : x
  2. Step 2: Convert to fraction form
    5,766.22/8,647.73 = 2,255.51/x
  3. Step 3: Cross multiply
    5,766.22x = 8,647.73 × 2,255.51
  4. Step 4: Simplify right side
    5,766.22x = 19,505,060.29
  5. Step 5: Solve for x
    x = 19,505,060.29/5,766.22
  6. Step 6: Final answer
    x = 3,382.64

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Why These Related Problems?

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