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Finding the Fourth Proportional to 5,173.14, 7,138.97 and 2,815.31

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Solution

The fourth proportional to 5,173.14, 7,138.97 and 2,815.31 is: 3,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.14 : 7,138.97 = 2,815.31 : x
  2. Step 2: Convert to fraction form
    5,173.14/7,138.97 = 2,815.31/x
  3. Step 3: Cross multiply
    5,173.14x = 7,138.97 × 2,815.31
  4. Step 4: Simplify right side
    5,173.14x = 20,098,363.86
  5. Step 5: Solve for x
    x = 20,098,363.86/5,173.14
  6. Step 6: Final answer
    x = 3,885.14

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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.