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Finding the Fourth Proportional to 5,213.99, 7,824.63 and 2,294.34

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Solution

The fourth proportional to 5,213.99, 7,824.63 and 2,294.34 is: 3,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.99 : 7,824.63 = 2,294.34 : x
  2. Step 2: Convert to fraction form
    5,213.99/7,824.63 = 2,294.34/x
  3. Step 3: Cross multiply
    5,213.99x = 7,824.63 × 2,294.34
  4. Step 4: Simplify right side
    5,213.99x = 17,952,361.59
  5. Step 5: Solve for x
    x = 17,952,361.59/5,213.99
  6. Step 6: Final answer
    x = 3,443.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.