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Finding the Fourth Proportional to 5,759.52, 8,634 and 2,796.24

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Solution

The fourth proportional to 5,759.52, 8,634 and 2,796.24 is: 4,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.52 : 8,634 = 2,796.24 : x
  2. Step 2: Convert to fraction form
    5,759.52/8,634 = 2,796.24/x
  3. Step 3: Cross multiply
    5,759.52x = 8,634 × 2,796.24
  4. Step 4: Simplify right side
    5,759.52x = 24,142,736.16
  5. Step 5: Solve for x
    x = 24,142,736.16/5,759.52
  6. Step 6: Final answer
    x = 4,191.80

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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.