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Finding the Fourth Proportional to 5,209.38, 7,814.07 and 2,576.34

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Solution

The fourth proportional to 5,209.38, 7,814.07 and 2,576.34 is: 3,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.38 : 7,814.07 = 2,576.34 : x
  2. Step 2: Convert to fraction form
    5,209.38/7,814.07 = 2,576.34/x
  3. Step 3: Cross multiply
    5,209.38x = 7,814.07 × 2,576.34
  4. Step 4: Simplify right side
    5,209.38x = 20,131,701.10
  5. Step 5: Solve for x
    x = 20,131,701.10/5,209.38
  6. Step 6: Final answer
    x = 3,864.51

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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.