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Finding the Fourth Proportional to 5,398.94, 8,098.34 and 2,114.34

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Solution

The fourth proportional to 5,398.94, 8,098.34 and 2,114.34 is: 3,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.94 : 8,098.34 = 2,114.34 : x
  2. Step 2: Convert to fraction form
    5,398.94/8,098.34 = 2,114.34/x
  3. Step 3: Cross multiply
    5,398.94x = 8,098.34 × 2,114.34
  4. Step 4: Simplify right side
    5,398.94x = 17,122,633.62
  5. Step 5: Solve for x
    x = 17,122,633.62/5,398.94
  6. Step 6: Final answer
    x = 3,171.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.