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Finding the Fourth Proportional to 5,839.87, 8,059.34 and 3,322.07

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Solution

The fourth proportional to 5,839.87, 8,059.34 and 3,322.07 is: 4,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.87 : 8,059.34 = 3,322.07 : x
  2. Step 2: Convert to fraction form
    5,839.87/8,059.34 = 3,322.07/x
  3. Step 3: Cross multiply
    5,839.87x = 8,059.34 × 3,322.07
  4. Step 4: Simplify right side
    5,839.87x = 26,773,691.63
  5. Step 5: Solve for x
    x = 26,773,691.63/5,839.87
  6. Step 6: Final answer
    x = 4,584.64

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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.