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Finding the Fourth Proportional to 6,098.05, 8,414.87 and 3,580.26

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Solution

The fourth proportional to 6,098.05, 8,414.87 and 3,580.26 is: 4,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.05 : 8,414.87 = 3,580.26 : x
  2. Step 2: Convert to fraction form
    6,098.05/8,414.87 = 3,580.26/x
  3. Step 3: Cross multiply
    6,098.05x = 8,414.87 × 3,580.26
  4. Step 4: Simplify right side
    6,098.05x = 30,127,452.45
  5. Step 5: Solve for x
    x = 30,127,452.45/6,098.05
  6. Step 6: Final answer
    x = 4,940.51

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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.