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Finding the Fourth Proportional to 5,675.38, 7,833.79 and 5,076.80

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Solution

The fourth proportional to 5,675.38, 7,833.79 and 5,076.80 is: 7,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.38 : 7,833.79 = 5,076.80 : x
  2. Step 2: Convert to fraction form
    5,675.38/7,833.79 = 5,076.80/x
  3. Step 3: Cross multiply
    5,675.38x = 7,833.79 × 5,076.80
  4. Step 4: Simplify right side
    5,675.38x = 39,770,589.38
  5. Step 5: Solve for x
    x = 39,770,589.38/5,675.38
  6. Step 6: Final answer
    x = 7,007.57

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1.5x scale

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.