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Finding the Fourth Proportional to 5,759.07, 7,947 and 3,241.38

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Solution

The fourth proportional to 5,759.07, 7,947 and 3,241.38 is: 4,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.07 : 7,947 = 3,241.38 : x
  2. Step 2: Convert to fraction form
    5,759.07/7,947 = 3,241.38/x
  3. Step 3: Cross multiply
    5,759.07x = 7,947 × 3,241.38
  4. Step 4: Simplify right side
    5,759.07x = 25,759,246.86
  5. Step 5: Solve for x
    x = 25,759,246.86/5,759.07
  6. Step 6: Final answer
    x = 4,472.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.