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Finding the Fourth Proportional to 5,821.93, 8,034.48 and 3,169.43

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Solution

The fourth proportional to 5,821.93, 8,034.48 and 3,169.43 is: 4,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.93 : 8,034.48 = 3,169.43 : x
  2. Step 2: Convert to fraction form
    5,821.93/8,034.48 = 3,169.43/x
  3. Step 3: Cross multiply
    5,821.93x = 8,034.48 × 3,169.43
  4. Step 4: Simplify right side
    5,821.93x = 25,464,706.10
  5. Step 5: Solve for x
    x = 25,464,706.10/5,821.93
  6. Step 6: Final answer
    x = 4,373.93

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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.