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Finding the Fourth Proportional to 5,396.25, 8,092.68 and 2,275.68

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Solution

The fourth proportional to 5,396.25, 8,092.68 and 2,275.68 is: 3,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.25 : 8,092.68 = 2,275.68 : x
  2. Step 2: Convert to fraction form
    5,396.25/8,092.68 = 2,275.68/x
  3. Step 3: Cross multiply
    5,396.25x = 8,092.68 × 2,275.68
  4. Step 4: Simplify right side
    5,396.25x = 18,416,350.02
  5. Step 5: Solve for x
    x = 18,416,350.02/5,396.25
  6. Step 6: Final answer
    x = 3,412.81

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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.