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Finding the Fourth Proportional to 5,758.37, 7,947.41 and 3,369.75

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Solution

The fourth proportional to 5,758.37, 7,947.41 and 3,369.75 is: 4,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.37 : 7,947.41 = 3,369.75 : x
  2. Step 2: Convert to fraction form
    5,758.37/7,947.41 = 3,369.75/x
  3. Step 3: Cross multiply
    5,758.37x = 7,947.41 × 3,369.75
  4. Step 4: Simplify right side
    5,758.37x = 26,780,784.85
  5. Step 5: Solve for x
    x = 26,780,784.85/5,758.37
  6. Step 6: Final answer
    x = 4,650.76

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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.