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Finding the Fourth Proportional to 4,934.12, 6,857.38 and 4,882.28

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Solution

The fourth proportional to 4,934.12, 6,857.38 and 4,882.28 is: 6,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.12 : 6,857.38 = 4,882.28 : x
  2. Step 2: Convert to fraction form
    4,934.12/6,857.38 = 4,882.28/x
  3. Step 3: Cross multiply
    4,934.12x = 6,857.38 × 4,882.28
  4. Step 4: Simplify right side
    4,934.12x = 33,479,649.23
  5. Step 5: Solve for x
    x = 33,479,649.23/4,934.12
  6. Step 6: Final answer
    x = 6,785.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.