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Finding the Fourth Proportional to 6,186.82, 8,537.84 and 3,670.19

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Solution

The fourth proportional to 6,186.82, 8,537.84 and 3,670.19 is: 5,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.82 : 8,537.84 = 3,670.19 : x
  2. Step 2: Convert to fraction form
    6,186.82/8,537.84 = 3,670.19/x
  3. Step 3: Cross multiply
    6,186.82x = 8,537.84 × 3,670.19
  4. Step 4: Simplify right side
    6,186.82x = 31,335,476.64
  5. Step 5: Solve for x
    x = 31,335,476.64/6,186.82
  6. Step 6: Final answer
    x = 5,064.88

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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.