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Finding the Fourth Proportional to 4,451.69, 6,684.33 and 3,767.33

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Solution

The fourth proportional to 4,451.69, 6,684.33 and 3,767.33 is: 5,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.69 : 6,684.33 = 3,767.33 : x
  2. Step 2: Convert to fraction form
    4,451.69/6,684.33 = 3,767.33/x
  3. Step 3: Cross multiply
    4,451.69x = 6,684.33 × 3,767.33
  4. Step 4: Simplify right side
    4,451.69x = 25,182,076.94
  5. Step 5: Solve for x
    x = 25,182,076.94/4,451.69
  6. Step 6: Final answer
    x = 5,656.75

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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.