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Finding the Fourth Proportional to 5,489.90, 8,234.85 and 4,396.40

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Solution

The fourth proportional to 5,489.90, 8,234.85 and 4,396.40 is: 6,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.90 : 8,234.85 = 4,396.40 : x
  2. Step 2: Convert to fraction form
    5,489.90/8,234.85 = 4,396.40/x
  3. Step 3: Cross multiply
    5,489.90x = 8,234.85 × 4,396.40
  4. Step 4: Simplify right side
    5,489.90x = 36,203,694.54
  5. Step 5: Solve for x
    x = 36,203,694.54/5,489.90
  6. Step 6: Final answer
    x = 6,594.60

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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.