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Finding the Fourth Proportional to 5,769.07, 7,951.97 and 4,507.93

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Solution

The fourth proportional to 5,769.07, 7,951.97 and 4,507.93 is: 6,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.07 : 7,951.97 = 4,507.93 : x
  2. Step 2: Convert to fraction form
    5,769.07/7,951.97 = 4,507.93/x
  3. Step 3: Cross multiply
    5,769.07x = 7,951.97 × 4,507.93
  4. Step 4: Simplify right side
    5,769.07x = 35,846,924.12
  5. Step 5: Solve for x
    x = 35,846,924.12/5,769.07
  6. Step 6: Final answer
    x = 6,213.64

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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.