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Finding the Fourth Proportional to 3,954.81, 5,933.04 and 1,614.83

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Solution

The fourth proportional to 3,954.81, 5,933.04 and 1,614.83 is: 2,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.81 : 5,933.04 = 1,614.83 : x
  2. Step 2: Convert to fraction form
    3,954.81/5,933.04 = 1,614.83/x
  3. Step 3: Cross multiply
    3,954.81x = 5,933.04 × 1,614.83
  4. Step 4: Simplify right side
    3,954.81x = 9,580,813.24
  5. Step 5: Solve for x
    x = 9,580,813.24/3,954.81
  6. Step 6: Final answer
    x = 2,422.57

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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.