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Finding the Fourth Proportional to 5,922.38, 8,174.93 and 3,933.43

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Solution

The fourth proportional to 5,922.38, 8,174.93 and 3,933.43 is: 5,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.38 : 8,174.93 = 3,933.43 : x
  2. Step 2: Convert to fraction form
    5,922.38/8,174.93 = 3,933.43/x
  3. Step 3: Cross multiply
    5,922.38x = 8,174.93 × 3,933.43
  4. Step 4: Simplify right side
    5,922.38x = 32,155,474.81
  5. Step 5: Solve for x
    x = 32,155,474.81/5,922.38
  6. Step 6: Final answer
    x = 5,429.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.