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Finding the Fourth Proportional to 3,945.43, 5,914.15 and 2,559.64

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Solution

The fourth proportional to 3,945.43, 5,914.15 and 2,559.64 is: 3,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.43 : 5,914.15 = 2,559.64 : x
  2. Step 2: Convert to fraction form
    3,945.43/5,914.15 = 2,559.64/x
  3. Step 3: Cross multiply
    3,945.43x = 5,914.15 × 2,559.64
  4. Step 4: Simplify right side
    3,945.43x = 15,138,094.91
  5. Step 5: Solve for x
    x = 15,138,094.91/3,945.43
  6. Step 6: Final answer
    x = 3,836.87

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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.