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Finding the Fourth Proportional to 3,969.55, 5,478.09 and 2,291.05

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Solution

The fourth proportional to 3,969.55, 5,478.09 and 2,291.05 is: 3,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.55 : 5,478.09 = 2,291.05 : x
  2. Step 2: Convert to fraction form
    3,969.55/5,478.09 = 2,291.05/x
  3. Step 3: Cross multiply
    3,969.55x = 5,478.09 × 2,291.05
  4. Step 4: Simplify right side
    3,969.55x = 12,550,578.09
  5. Step 5: Solve for x
    x = 12,550,578.09/3,969.55
  6. Step 6: Final answer
    x = 3,161.71

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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.