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Finding the Fourth Proportional to 6,098.17, 8,414.67 and 3,856.09

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Solution

The fourth proportional to 6,098.17, 8,414.67 and 3,856.09 is: 5,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.17 : 8,414.67 = 3,856.09 : x
  2. Step 2: Convert to fraction form
    6,098.17/8,414.67 = 3,856.09/x
  3. Step 3: Cross multiply
    6,098.17x = 8,414.67 × 3,856.09
  4. Step 4: Simplify right side
    6,098.17x = 32,447,724.84
  5. Step 5: Solve for x
    x = 32,447,724.84/6,098.17
  6. Step 6: Final answer
    x = 5,320.90

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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.