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Finding the Fourth Proportional to 3,559.26, 5,322.42 and 3,171.54

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Solution

The fourth proportional to 3,559.26, 5,322.42 and 3,171.54 is: 4,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.26 : 5,322.42 = 3,171.54 : x
  2. Step 2: Convert to fraction form
    3,559.26/5,322.42 = 3,171.54/x
  3. Step 3: Cross multiply
    3,559.26x = 5,322.42 × 3,171.54
  4. Step 4: Simplify right side
    3,559.26x = 16,880,267.93
  5. Step 5: Solve for x
    x = 16,880,267.93/3,559.26
  6. Step 6: Final answer
    x = 4,742.63

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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.