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Finding the Fourth Proportional to 5,172.31, 7,137.72 and 2,934.23

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Solution

The fourth proportional to 5,172.31, 7,137.72 and 2,934.23 is: 4,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.31 : 7,137.72 = 2,934.23 : x
  2. Step 2: Convert to fraction form
    5,172.31/7,137.72 = 2,934.23/x
  3. Step 3: Cross multiply
    5,172.31x = 7,137.72 × 2,934.23
  4. Step 4: Simplify right side
    5,172.31x = 20,943,676.47
  5. Step 5: Solve for x
    x = 20,943,676.47/5,172.31
  6. Step 6: Final answer
    x = 4,049.20

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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.