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Finding the Fourth Proportional to 5,931.77, 8,185.12 and 3,279.20

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Solution

The fourth proportional to 5,931.77, 8,185.12 and 3,279.20 is: 4,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.77 : 8,185.12 = 3,279.20 : x
  2. Step 2: Convert to fraction form
    5,931.77/8,185.12 = 3,279.20/x
  3. Step 3: Cross multiply
    5,931.77x = 8,185.12 × 3,279.20
  4. Step 4: Simplify right side
    5,931.77x = 26,840,596.38
  5. Step 5: Solve for x
    x = 26,840,596.38/5,931.77
  6. Step 6: Final answer
    x = 4,524.89

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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.