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Finding the Fourth Proportional to 5,000.21, 6,902.25 and 3,298.44

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Solution

The fourth proportional to 5,000.21, 6,902.25 and 3,298.44 is: 4,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.21 : 6,902.25 = 3,298.44 : x
  2. Step 2: Convert to fraction form
    5,000.21/6,902.25 = 3,298.44/x
  3. Step 3: Cross multiply
    5,000.21x = 6,902.25 × 3,298.44
  4. Step 4: Simplify right side
    5,000.21x = 22,766,657.49
  5. Step 5: Solve for x
    x = 22,766,657.49/5,000.21
  6. Step 6: Final answer
    x = 4,553.14

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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.