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Finding the Fourth Proportional to 6,098.54, 8,414.58 and 3,580.52

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Solution

The fourth proportional to 6,098.54, 8,414.58 and 3,580.52 is: 4,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.54 : 8,414.58 = 3,580.52 : x
  2. Step 2: Convert to fraction form
    6,098.54/8,414.58 = 3,580.52/x
  3. Step 3: Cross multiply
    6,098.54x = 8,414.58 × 3,580.52
  4. Step 4: Simplify right side
    6,098.54x = 30,128,571.98
  5. Step 5: Solve for x
    x = 30,128,571.98/6,098.54
  6. Step 6: Final answer
    x = 4,940.29

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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.