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Finding the Fourth Proportional to 5,293.73, 7,942.69 and 2,007.70

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Solution

The fourth proportional to 5,293.73, 7,942.69 and 2,007.70 is: 3,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.73 : 7,942.69 = 2,007.70 : x
  2. Step 2: Convert to fraction form
    5,293.73/7,942.69 = 2,007.70/x
  3. Step 3: Cross multiply
    5,293.73x = 7,942.69 × 2,007.70
  4. Step 4: Simplify right side
    5,293.73x = 15,946,521.37
  5. Step 5: Solve for x
    x = 15,946,521.37/5,293.73
  6. Step 6: Final answer
    x = 3,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.