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Finding the Fourth Proportional to 5,396.90, 8,092.91 and 5,226.80

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Solution

The fourth proportional to 5,396.90, 8,092.91 and 5,226.80 is: 7,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.90 : 8,092.91 = 5,226.80 : x
  2. Step 2: Convert to fraction form
    5,396.90/8,092.91 = 5,226.80/x
  3. Step 3: Cross multiply
    5,396.90x = 8,092.91 × 5,226.80
  4. Step 4: Simplify right side
    5,396.90x = 42,299,994.59
  5. Step 5: Solve for x
    x = 42,299,994.59/5,396.90
  6. Step 6: Final answer
    x = 7,837.84

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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.