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Finding the Fourth Proportional to 5,835.38, 8,047.96 and 3,475.85

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Solution

The fourth proportional to 5,835.38, 8,047.96 and 3,475.85 is: 4,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.38 : 8,047.96 = 3,475.85 : x
  2. Step 2: Convert to fraction form
    5,835.38/8,047.96 = 3,475.85/x
  3. Step 3: Cross multiply
    5,835.38x = 8,047.96 × 3,475.85
  4. Step 4: Simplify right side
    5,835.38x = 27,973,452.84
  5. Step 5: Solve for x
    x = 27,973,452.84/5,835.38
  6. Step 6: Final answer
    x = 4,793.77

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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.