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Finding the Fourth Proportional to 5,934.66, 8,189.74 and 3,282.11

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Solution

The fourth proportional to 5,934.66, 8,189.74 and 3,282.11 is: 4,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.66 : 8,189.74 = 3,282.11 : x
  2. Step 2: Convert to fraction form
    5,934.66/8,189.74 = 3,282.11/x
  3. Step 3: Cross multiply
    5,934.66x = 8,189.74 × 3,282.11
  4. Step 4: Simplify right side
    5,934.66x = 26,879,627.55
  5. Step 5: Solve for x
    x = 26,879,627.55/5,934.66
  6. Step 6: Final answer
    x = 4,529.26

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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.