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Finding the Fourth Proportional to 4,327.86, 6,480.81 and 2,769.63

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Solution

The fourth proportional to 4,327.86, 6,480.81 and 2,769.63 is: 4,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.86 : 6,480.81 = 2,769.63 : x
  2. Step 2: Convert to fraction form
    4,327.86/6,480.81 = 2,769.63/x
  3. Step 3: Cross multiply
    4,327.86x = 6,480.81 × 2,769.63
  4. Step 4: Simplify right side
    4,327.86x = 17,949,421.50
  5. Step 5: Solve for x
    x = 17,949,421.50/4,327.86
  6. Step 6: Final answer
    x = 4,147.41

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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.