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Finding the Fourth Proportional to 3,791.88, 5,698.08 and 3,578.04

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Solution

The fourth proportional to 3,791.88, 5,698.08 and 3,578.04 is: 5,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.88 : 5,698.08 = 3,578.04 : x
  2. Step 2: Convert to fraction form
    3,791.88/5,698.08 = 3,578.04/x
  3. Step 3: Cross multiply
    3,791.88x = 5,698.08 × 3,578.04
  4. Step 4: Simplify right side
    3,791.88x = 20,387,958.16
  5. Step 5: Solve for x
    x = 20,387,958.16/3,791.88
  6. Step 6: Final answer
    x = 5,376.74

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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.