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Finding the Fourth Proportional to 5,934.38, 8,189.58 and 3,842.15

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Solution

The fourth proportional to 5,934.38, 8,189.58 and 3,842.15 is: 5,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.38 : 8,189.58 = 3,842.15 : x
  2. Step 2: Convert to fraction form
    5,934.38/8,189.58 = 3,842.15/x
  3. Step 3: Cross multiply
    5,934.38x = 8,189.58 × 3,842.15
  4. Step 4: Simplify right side
    5,934.38x = 31,465,553.85
  5. Step 5: Solve for x
    x = 31,465,553.85/5,934.38
  6. Step 6: Final answer
    x = 5,302.25

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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.