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Finding the Fourth Proportional to 5,423.41, 7,478.92 and 4,082.23

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Solution

The fourth proportional to 5,423.41, 7,478.92 and 4,082.23 is: 5,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.41 : 7,478.92 = 4,082.23 : x
  2. Step 2: Convert to fraction form
    5,423.41/7,478.92 = 4,082.23/x
  3. Step 3: Cross multiply
    5,423.41x = 7,478.92 × 4,082.23
  4. Step 4: Simplify right side
    5,423.41x = 30,530,651.18
  5. Step 5: Solve for x
    x = 30,530,651.18/5,423.41
  6. Step 6: Final answer
    x = 5,629.42

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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.