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Finding the Fourth Proportional to 5,396.24, 8,097.46 and 2,276

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Solution

The fourth proportional to 5,396.24, 8,097.46 and 2,276 is: 3,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.24 : 8,097.46 = 2,276 : x
  2. Step 2: Convert to fraction form
    5,396.24/8,097.46 = 2,276/x
  3. Step 3: Cross multiply
    5,396.24x = 8,097.46 × 2,276
  4. Step 4: Simplify right side
    5,396.24x = 18,429,818.96
  5. Step 5: Solve for x
    x = 18,429,818.96/5,396.24
  6. Step 6: Final answer
    x = 3,415.31

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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.