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Finding the Fourth Proportional to 3,722.96, 5,579.82 and 3,259.64

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Solution

The fourth proportional to 3,722.96, 5,579.82 and 3,259.64 is: 4,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.96 : 5,579.82 = 3,259.64 : x
  2. Step 2: Convert to fraction form
    3,722.96/5,579.82 = 3,259.64/x
  3. Step 3: Cross multiply
    3,722.96x = 5,579.82 × 3,259.64
  4. Step 4: Simplify right side
    3,722.96x = 18,188,204.46
  5. Step 5: Solve for x
    x = 18,188,204.46/3,722.96
  6. Step 6: Final answer
    x = 4,885.41

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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.