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Finding the Fourth Proportional to 5,559.86, 7,672.78 and 3,201.96

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Solution

The fourth proportional to 5,559.86, 7,672.78 and 3,201.96 is: 4,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.86 : 7,672.78 = 3,201.96 : x
  2. Step 2: Convert to fraction form
    5,559.86/7,672.78 = 3,201.96/x
  3. Step 3: Cross multiply
    5,559.86x = 7,672.78 × 3,201.96
  4. Step 4: Simplify right side
    5,559.86x = 24,567,934.65
  5. Step 5: Solve for x
    x = 24,567,934.65/5,559.86
  6. Step 6: Final answer
    x = 4,418.80

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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.