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Finding the Fourth Proportional to 5,396.09, 8,095.24 and 2,276.10

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Solution

The fourth proportional to 5,396.09, 8,095.24 and 2,276.10 is: 3,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.09 : 8,095.24 = 2,276.10 : x
  2. Step 2: Convert to fraction form
    5,396.09/8,095.24 = 2,276.10/x
  3. Step 3: Cross multiply
    5,396.09x = 8,095.24 × 2,276.10
  4. Step 4: Simplify right side
    5,396.09x = 18,425,601.38
  5. Step 5: Solve for x
    x = 18,425,601.38/5,396.09
  6. Step 6: Final answer
    x = 3,414.62

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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.