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Finding the Fourth Proportional to 5,682.34, 7,839.75 and 3,322.81

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Solution

The fourth proportional to 5,682.34, 7,839.75 and 3,322.81 is: 4,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.34 : 7,839.75 = 3,322.81 : x
  2. Step 2: Convert to fraction form
    5,682.34/7,839.75 = 3,322.81/x
  3. Step 3: Cross multiply
    5,682.34x = 7,839.75 × 3,322.81
  4. Step 4: Simplify right side
    5,682.34x = 26,049,999.70
  5. Step 5: Solve for x
    x = 26,049,999.70/5,682.34
  6. Step 6: Final answer
    x = 4,584.38

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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.