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Finding the Fourth Proportional to 5,448.87, 7,519.37 and 3,180.74

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Solution

The fourth proportional to 5,448.87, 7,519.37 and 3,180.74 is: 4,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.87 : 7,519.37 = 3,180.74 : x
  2. Step 2: Convert to fraction form
    5,448.87/7,519.37 = 3,180.74/x
  3. Step 3: Cross multiply
    5,448.87x = 7,519.37 × 3,180.74
  4. Step 4: Simplify right side
    5,448.87x = 23,917,107.43
  5. Step 5: Solve for x
    x = 23,917,107.43/5,448.87
  6. Step 6: Final answer
    x = 4,389.37

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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.