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Finding the Fourth Proportional to 6,098.27, 8,415.56 and 3,446.19

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Solution

The fourth proportional to 6,098.27, 8,415.56 and 3,446.19 is: 4,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.27 : 8,415.56 = 3,446.19 : x
  2. Step 2: Convert to fraction form
    6,098.27/8,415.56 = 3,446.19/x
  3. Step 3: Cross multiply
    6,098.27x = 8,415.56 × 3,446.19
  4. Step 4: Simplify right side
    6,098.27x = 29,001,627.33
  5. Step 5: Solve for x
    x = 29,001,627.33/6,098.27
  6. Step 6: Final answer
    x = 4,755.72

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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.