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Finding the Fourth Proportional to 3,323.24, 4,975.54 and 1,759.71

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Solution

The fourth proportional to 3,323.24, 4,975.54 and 1,759.71 is: 2,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.24 : 4,975.54 = 1,759.71 : x
  2. Step 2: Convert to fraction form
    3,323.24/4,975.54 = 1,759.71/x
  3. Step 3: Cross multiply
    3,323.24x = 4,975.54 × 1,759.71
  4. Step 4: Simplify right side
    3,323.24x = 8,755,507.49
  5. Step 5: Solve for x
    x = 8,755,507.49/3,323.24
  6. Step 6: Final answer
    x = 2,634.63

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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.