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Finding the Fourth Proportional to 3,829.97, 5,744.25 and 1,364.87

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Solution

The fourth proportional to 3,829.97, 5,744.25 and 1,364.87 is: 2,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.97 : 5,744.25 = 1,364.87 : x
  2. Step 2: Convert to fraction form
    3,829.97/5,744.25 = 1,364.87/x
  3. Step 3: Cross multiply
    3,829.97x = 5,744.25 × 1,364.87
  4. Step 4: Simplify right side
    3,829.97x = 7,840,168.86
  5. Step 5: Solve for x
    x = 7,840,168.86/3,829.97
  6. Step 6: Final answer
    x = 2,047.06

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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.