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Finding the Fourth Proportional to 3,829.97, 5,744.98 and 2,097.65

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Solution

The fourth proportional to 3,829.97, 5,744.98 and 2,097.65 is: 3,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.97 : 5,744.98 = 2,097.65 : x
  2. Step 2: Convert to fraction form
    3,829.97/5,744.98 = 2,097.65/x
  3. Step 3: Cross multiply
    3,829.97x = 5,744.98 × 2,097.65
  4. Step 4: Simplify right side
    3,829.97x = 12,050,923.33
  5. Step 5: Solve for x
    x = 12,050,923.33/3,829.97
  6. Step 6: Final answer
    x = 3,146.48

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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.