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Finding the Fourth Proportional to 5,568.69, 7,667.25 and 4,727.73

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Solution

The fourth proportional to 5,568.69, 7,667.25 and 4,727.73 is: 6,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.69 : 7,667.25 = 4,727.73 : x
  2. Step 2: Convert to fraction form
    5,568.69/7,667.25 = 4,727.73/x
  3. Step 3: Cross multiply
    5,568.69x = 7,667.25 × 4,727.73
  4. Step 4: Simplify right side
    5,568.69x = 36,248,661.33
  5. Step 5: Solve for x
    x = 36,248,661.33/5,568.69
  6. Step 6: Final answer
    x = 6,509.38

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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.