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Finding the Fourth Proportional to 5,932.69, 8,186.40 and 3,279.74

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Solution

The fourth proportional to 5,932.69, 8,186.40 and 3,279.74 is: 4,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.69 : 8,186.40 = 3,279.74 : x
  2. Step 2: Convert to fraction form
    5,932.69/8,186.40 = 3,279.74/x
  3. Step 3: Cross multiply
    5,932.69x = 8,186.40 × 3,279.74
  4. Step 4: Simplify right side
    5,932.69x = 26,849,222.60
  5. Step 5: Solve for x
    x = 26,849,222.60/5,932.69
  6. Step 6: Final answer
    x = 4,525.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.