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Finding the Fourth Proportional to 5,172.91, 7,138.36 and 2,815

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Solution

The fourth proportional to 5,172.91, 7,138.36 and 2,815 is: 3,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.91 : 7,138.36 = 2,815 : x
  2. Step 2: Convert to fraction form
    5,172.91/7,138.36 = 2,815/x
  3. Step 3: Cross multiply
    5,172.91x = 7,138.36 × 2,815
  4. Step 4: Simplify right side
    5,172.91x = 20,094,483.40
  5. Step 5: Solve for x
    x = 20,094,483.40/5,172.91
  6. Step 6: Final answer
    x = 3,884.56

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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.