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Finding the Fourth Proportional to 3,614.62, 5,421.94 and 1,972.56

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Solution

The fourth proportional to 3,614.62, 5,421.94 and 1,972.56 is: 2,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.62 : 5,421.94 = 1,972.56 : x
  2. Step 2: Convert to fraction form
    3,614.62/5,421.94 = 1,972.56/x
  3. Step 3: Cross multiply
    3,614.62x = 5,421.94 × 1,972.56
  4. Step 4: Simplify right side
    3,614.62x = 10,695,101.97
  5. Step 5: Solve for x
    x = 10,695,101.97/3,614.62
  6. Step 6: Final answer
    x = 2,958.85

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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.