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Finding the Fourth Proportional to 3,582.97, 4,943.62 and 2,744.62

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Solution

The fourth proportional to 3,582.97, 4,943.62 and 2,744.62 is: 3,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.97 : 4,943.62 = 2,744.62 : x
  2. Step 2: Convert to fraction form
    3,582.97/4,943.62 = 2,744.62/x
  3. Step 3: Cross multiply
    3,582.97x = 4,943.62 × 2,744.62
  4. Step 4: Simplify right side
    3,582.97x = 13,568,358.32
  5. Step 5: Solve for x
    x = 13,568,358.32/3,582.97
  6. Step 6: Final answer
    x = 3,786.90

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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.