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Finding the Fourth Proportional to 5,882.27, 8,117.78 and 3,364.38

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Solution

The fourth proportional to 5,882.27, 8,117.78 and 3,364.38 is: 4,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.27 : 8,117.78 = 3,364.38 : x
  2. Step 2: Convert to fraction form
    5,882.27/8,117.78 = 3,364.38/x
  3. Step 3: Cross multiply
    5,882.27x = 8,117.78 × 3,364.38
  4. Step 4: Simplify right side
    5,882.27x = 27,311,279.85
  5. Step 5: Solve for x
    x = 27,311,279.85/5,882.27
  6. Step 6: Final answer
    x = 4,642.99

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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.