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Finding the Fourth Proportional to 3,867.41, 5,336.87 and 2,098.98

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Solution

The fourth proportional to 3,867.41, 5,336.87 and 2,098.98 is: 2,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.41 : 5,336.87 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    3,867.41/5,336.87 = 2,098.98/x
  3. Step 3: Cross multiply
    3,867.41x = 5,336.87 × 2,098.98
  4. Step 4: Simplify right side
    3,867.41x = 11,201,972.90
  5. Step 5: Solve for x
    x = 11,201,972.90/3,867.41
  6. Step 6: Final answer
    x = 2,896.51

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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.