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Finding the Fourth Proportional to 5,932.54, 8,186.82 and 3,279.89

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Solution

The fourth proportional to 5,932.54, 8,186.82 and 3,279.89 is: 4,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.54 : 8,186.82 = 3,279.89 : x
  2. Step 2: Convert to fraction form
    5,932.54/8,186.82 = 3,279.89/x
  3. Step 3: Cross multiply
    5,932.54x = 8,186.82 × 3,279.89
  4. Step 4: Simplify right side
    5,932.54x = 26,851,895.67
  5. Step 5: Solve for x
    x = 26,851,895.67/5,932.54
  6. Step 6: Final answer
    x = 4,526.20

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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.