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Finding the Fourth Proportional to 6,082.42, 8,394.78 and 3,843.58

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Solution

The fourth proportional to 6,082.42, 8,394.78 and 3,843.58 is: 5,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.42 : 8,394.78 = 3,843.58 : x
  2. Step 2: Convert to fraction form
    6,082.42/8,394.78 = 3,843.58/x
  3. Step 3: Cross multiply
    6,082.42x = 8,394.78 × 3,843.58
  4. Step 4: Simplify right side
    6,082.42x = 32,266,008.51
  5. Step 5: Solve for x
    x = 32,266,008.51/6,082.42
  6. Step 6: Final answer
    x = 5,304.80

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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.