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Finding the Fourth Proportional to 5,489.90, 8,234.86 and 2,570.26

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Solution

The fourth proportional to 5,489.90, 8,234.86 and 2,570.26 is: 3,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.90 : 8,234.86 = 2,570.26 : x
  2. Step 2: Convert to fraction form
    5,489.90/8,234.86 = 2,570.26/x
  3. Step 3: Cross multiply
    5,489.90x = 8,234.86 × 2,570.26
  4. Step 4: Simplify right side
    5,489.90x = 21,165,704.25
  5. Step 5: Solve for x
    x = 21,165,704.25/5,489.90
  6. Step 6: Final answer
    x = 3,855.39

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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.