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Finding the Fourth Proportional to 5,902.40, 8,842.26 and 3,297.44

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Solution

The fourth proportional to 5,902.40, 8,842.26 and 3,297.44 is: 4,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.40 : 8,842.26 = 3,297.44 : x
  2. Step 2: Convert to fraction form
    5,902.40/8,842.26 = 3,297.44/x
  3. Step 3: Cross multiply
    5,902.40x = 8,842.26 × 3,297.44
  4. Step 4: Simplify right side
    5,902.40x = 29,156,821.81
  5. Step 5: Solve for x
    x = 29,156,821.81/5,902.40
  6. Step 6: Final answer
    x = 4,939.82

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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.