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Finding the Fourth Proportional to 5,171.85, 7,137.36 and 2,934

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Solution

The fourth proportional to 5,171.85, 7,137.36 and 2,934 is: 4,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.85 : 7,137.36 = 2,934 : x
  2. Step 2: Convert to fraction form
    5,171.85/7,137.36 = 2,934/x
  3. Step 3: Cross multiply
    5,171.85x = 7,137.36 × 2,934
  4. Step 4: Simplify right side
    5,171.85x = 20,941,014.24
  5. Step 5: Solve for x
    x = 20,941,014.24/5,171.85
  6. Step 6: Final answer
    x = 4,049.04

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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.