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Finding the Fourth Proportional to 6,186.82, 8,538.24 and 3,497.12

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Solution

The fourth proportional to 6,186.82, 8,538.24 and 3,497.12 is: 4,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.82 : 8,538.24 = 3,497.12 : x
  2. Step 2: Convert to fraction form
    6,186.82/8,538.24 = 3,497.12/x
  3. Step 3: Cross multiply
    6,186.82x = 8,538.24 × 3,497.12
  4. Step 4: Simplify right side
    6,186.82x = 29,859,249.87
  5. Step 5: Solve for x
    x = 29,859,249.87/6,186.82
  6. Step 6: Final answer
    x = 4,826.27

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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.