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Finding the Fourth Proportional to 4,934.50, 6,797.69 and 4,224.07

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Solution

The fourth proportional to 4,934.50, 6,797.69 and 4,224.07 is: 5,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.50 : 6,797.69 = 4,224.07 : x
  2. Step 2: Convert to fraction form
    4,934.50/6,797.69 = 4,224.07/x
  3. Step 3: Cross multiply
    4,934.50x = 6,797.69 × 4,224.07
  4. Step 4: Simplify right side
    4,934.50x = 28,713,883.38
  5. Step 5: Solve for x
    x = 28,713,883.38/4,934.50
  6. Step 6: Final answer
    x = 5,819.00

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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.