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Finding the Fourth Proportional to 4,226.69, 5,832.69 and 2,338.24

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Solution

The fourth proportional to 4,226.69, 5,832.69 and 2,338.24 is: 3,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.69 : 5,832.69 = 2,338.24 : x
  2. Step 2: Convert to fraction form
    4,226.69/5,832.69 = 2,338.24/x
  3. Step 3: Cross multiply
    4,226.69x = 5,832.69 × 2,338.24
  4. Step 4: Simplify right side
    4,226.69x = 13,638,217.37
  5. Step 5: Solve for x
    x = 13,638,217.37/4,226.69
  6. Step 6: Final answer
    x = 3,226.69

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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.