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Finding the Fourth Proportional to 4,897.87, 7,351.97 and 2,923.49

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Solution

The fourth proportional to 4,897.87, 7,351.97 and 2,923.49 is: 4,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.87 : 7,351.97 = 2,923.49 : x
  2. Step 2: Convert to fraction form
    4,897.87/7,351.97 = 2,923.49/x
  3. Step 3: Cross multiply
    4,897.87x = 7,351.97 × 2,923.49
  4. Step 4: Simplify right side
    4,897.87x = 21,493,414.54
  5. Step 5: Solve for x
    x = 21,493,414.54/4,897.87
  6. Step 6: Final answer
    x = 4,388.32

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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.