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Finding the Fourth Proportional to 5,145.26, 7,713.28 and 3,296.90

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Solution

The fourth proportional to 5,145.26, 7,713.28 and 3,296.90 is: 4,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.26 : 7,713.28 = 3,296.90 : x
  2. Step 2: Convert to fraction form
    5,145.26/7,713.28 = 3,296.90/x
  3. Step 3: Cross multiply
    5,145.26x = 7,713.28 × 3,296.90
  4. Step 4: Simplify right side
    5,145.26x = 25,429,917.69
  5. Step 5: Solve for x
    x = 25,429,917.69/5,145.26
  6. Step 6: Final answer
    x = 4,942.40

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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.