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Finding the Fourth Proportional to 3,830.97, 5,744.14 and 1,722.22

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Solution

The fourth proportional to 3,830.97, 5,744.14 and 1,722.22 is: 2,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.97 : 5,744.14 = 1,722.22 : x
  2. Step 2: Convert to fraction form
    3,830.97/5,744.14 = 1,722.22/x
  3. Step 3: Cross multiply
    3,830.97x = 5,744.14 × 1,722.22
  4. Step 4: Simplify right side
    3,830.97x = 9,892,672.79
  5. Step 5: Solve for x
    x = 9,892,672.79/3,830.97
  6. Step 6: Final answer
    x = 2,582.29

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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.