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Finding the Fourth Proportional to 5,822.25, 8,034.35 and 3,169.64

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Solution

The fourth proportional to 5,822.25, 8,034.35 and 3,169.64 is: 4,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.25 : 8,034.35 = 3,169.64 : x
  2. Step 2: Convert to fraction form
    5,822.25/8,034.35 = 3,169.64/x
  3. Step 3: Cross multiply
    5,822.25x = 8,034.35 × 3,169.64
  4. Step 4: Simplify right side
    5,822.25x = 25,465,941.11
  5. Step 5: Solve for x
    x = 25,465,941.11/5,822.25
  6. Step 6: Final answer
    x = 4,373.90

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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.