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Finding the Fourth Proportional to 5,821.73, 8,034.12 and 3,169.16

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Solution

The fourth proportional to 5,821.73, 8,034.12 and 3,169.16 is: 4,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.73 : 8,034.12 = 3,169.16 : x
  2. Step 2: Convert to fraction form
    5,821.73/8,034.12 = 3,169.16/x
  3. Step 3: Cross multiply
    5,821.73x = 8,034.12 × 3,169.16
  4. Step 4: Simplify right side
    5,821.73x = 25,461,371.57
  5. Step 5: Solve for x
    x = 25,461,371.57/5,821.73
  6. Step 6: Final answer
    x = 4,373.51

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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.