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Finding the Fourth Proportional to 5,217.69, 7,814.34 and 4,530

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Solution

The fourth proportional to 5,217.69, 7,814.34 and 4,530 is: 6,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.69 : 7,814.34 = 4,530 : x
  2. Step 2: Convert to fraction form
    5,217.69/7,814.34 = 4,530/x
  3. Step 3: Cross multiply
    5,217.69x = 7,814.34 × 4,530
  4. Step 4: Simplify right side
    5,217.69x = 35,398,960.20
  5. Step 5: Solve for x
    x = 35,398,960.20/5,217.69
  6. Step 6: Final answer
    x = 6,784.41

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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.