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Finding the Fourth Proportional to 5,839.99, 8,057.82 and 3,321.52

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Solution

The fourth proportional to 5,839.99, 8,057.82 and 3,321.52 is: 4,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.99 : 8,057.82 = 3,321.52 : x
  2. Step 2: Convert to fraction form
    5,839.99/8,057.82 = 3,321.52/x
  3. Step 3: Cross multiply
    5,839.99x = 8,057.82 × 3,321.52
  4. Step 4: Simplify right side
    5,839.99x = 26,764,210.29
  5. Step 5: Solve for x
    x = 26,764,210.29/5,839.99
  6. Step 6: Final answer
    x = 4,582.92

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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.