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Finding the Fourth Proportional to 3,335.96, 5,008.26 and 2,105.84

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Solution

The fourth proportional to 3,335.96, 5,008.26 and 2,105.84 is: 3,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.96 : 5,008.26 = 2,105.84 : x
  2. Step 2: Convert to fraction form
    3,335.96/5,008.26 = 2,105.84/x
  3. Step 3: Cross multiply
    3,335.96x = 5,008.26 × 2,105.84
  4. Step 4: Simplify right side
    3,335.96x = 10,546,594.24
  5. Step 5: Solve for x
    x = 10,546,594.24/3,335.96
  6. Step 6: Final answer
    x = 3,161.49

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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.