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Finding the Fourth Proportional to 4,924.38, 6,797.91 and 4,249.50

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Solution

The fourth proportional to 4,924.38, 6,797.91 and 4,249.50 is: 5,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.38 : 6,797.91 = 4,249.50 : x
  2. Step 2: Convert to fraction form
    4,924.38/6,797.91 = 4,249.50/x
  3. Step 3: Cross multiply
    4,924.38x = 6,797.91 × 4,249.50
  4. Step 4: Simplify right side
    4,924.38x = 28,887,718.55
  5. Step 5: Solve for x
    x = 28,887,718.55/4,924.38
  6. Step 6: Final answer
    x = 5,866.27

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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.