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Finding the Fourth Proportional to 5,207.28, 7,813.04 and 2,744.27

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Solution

The fourth proportional to 5,207.28, 7,813.04 and 2,744.27 is: 4,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.28 : 7,813.04 = 2,744.27 : x
  2. Step 2: Convert to fraction form
    5,207.28/7,813.04 = 2,744.27/x
  3. Step 3: Cross multiply
    5,207.28x = 7,813.04 × 2,744.27
  4. Step 4: Simplify right side
    5,207.28x = 21,441,091.28
  5. Step 5: Solve for x
    x = 21,441,091.28/5,207.28
  6. Step 6: Final answer
    x = 4,117.52

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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.