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Finding the Fourth Proportional to 3,984.26, 5,498.38 and 2,411.44

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Solution

The fourth proportional to 3,984.26, 5,498.38 and 2,411.44 is: 3,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.26 : 5,498.38 = 2,411.44 : x
  2. Step 2: Convert to fraction form
    3,984.26/5,498.38 = 2,411.44/x
  3. Step 3: Cross multiply
    3,984.26x = 5,498.38 × 2,411.44
  4. Step 4: Simplify right side
    3,984.26x = 13,259,002.74
  5. Step 5: Solve for x
    x = 13,259,002.74/3,984.26
  6. Step 6: Final answer
    x = 3,327.85

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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.