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Finding the Fourth Proportional to 4,081, 5,632.26 and 2,425

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Solution

The fourth proportional to 4,081, 5,632.26 and 2,425 is: 3,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081 : 5,632.26 = 2,425 : x
  2. Step 2: Convert to fraction form
    4,081/5,632.26 = 2,425/x
  3. Step 3: Cross multiply
    4,081x = 5,632.26 × 2,425
  4. Step 4: Simplify right side
    4,081x = 13,658,230.50
  5. Step 5: Solve for x
    x = 13,658,230.50/4,081
  6. Step 6: Final answer
    x = 3,346.79

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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.