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Finding the Fourth Proportional to 5,213.40, 7,814.62 and 3,824.65

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Solution

The fourth proportional to 5,213.40, 7,814.62 and 3,824.65 is: 5,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.40 : 7,814.62 = 3,824.65 : x
  2. Step 2: Convert to fraction form
    5,213.40/7,814.62 = 3,824.65/x
  3. Step 3: Cross multiply
    5,213.40x = 7,814.62 × 3,824.65
  4. Step 4: Simplify right side
    5,213.40x = 29,888,186.38
  5. Step 5: Solve for x
    x = 29,888,186.38/5,213.40
  6. Step 6: Final answer
    x = 5,732.95

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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.