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Finding the Fourth Proportional to 3,911.56, 5,872.02 and 3,293.80

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Solution

The fourth proportional to 3,911.56, 5,872.02 and 3,293.80 is: 4,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.56 : 5,872.02 = 3,293.80 : x
  2. Step 2: Convert to fraction form
    3,911.56/5,872.02 = 3,293.80/x
  3. Step 3: Cross multiply
    3,911.56x = 5,872.02 × 3,293.80
  4. Step 4: Simplify right side
    3,911.56x = 19,341,259.48
  5. Step 5: Solve for x
    x = 19,341,259.48/3,911.56
  6. Step 6: Final answer
    x = 4,944.64

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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.