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Finding the Fourth Proportional to 5,172.99, 7,138.41 and 2,815.11

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Solution

The fourth proportional to 5,172.99, 7,138.41 and 2,815.11 is: 3,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.99 : 7,138.41 = 2,815.11 : x
  2. Step 2: Convert to fraction form
    5,172.99/7,138.41 = 2,815.11/x
  3. Step 3: Cross multiply
    5,172.99x = 7,138.41 × 2,815.11
  4. Step 4: Simplify right side
    5,172.99x = 20,095,409.38
  5. Step 5: Solve for x
    x = 20,095,409.38/5,172.99
  6. Step 6: Final answer
    x = 3,884.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.