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Finding the Fourth Proportional to 6,098.73, 8,416.31 and 3,304.23

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Solution

The fourth proportional to 6,098.73, 8,416.31 and 3,304.23 is: 4,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.73 : 8,416.31 = 3,304.23 : x
  2. Step 2: Convert to fraction form
    6,098.73/8,416.31 = 3,304.23/x
  3. Step 3: Cross multiply
    6,098.73x = 8,416.31 × 3,304.23
  4. Step 4: Simplify right side
    6,098.73x = 27,809,407.47
  5. Step 5: Solve for x
    x = 27,809,407.47/6,098.73
  6. Step 6: Final answer
    x = 4,559.87

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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.