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Finding the Fourth Proportional to 3,633.46, 5,004.62 and 2,792.55

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Solution

The fourth proportional to 3,633.46, 5,004.62 and 2,792.55 is: 3,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.46 : 5,004.62 = 2,792.55 : x
  2. Step 2: Convert to fraction form
    3,633.46/5,004.62 = 2,792.55/x
  3. Step 3: Cross multiply
    3,633.46x = 5,004.62 × 2,792.55
  4. Step 4: Simplify right side
    3,633.46x = 13,975,651.58
  5. Step 5: Solve for x
    x = 13,975,651.58/3,633.46
  6. Step 6: Final answer
    x = 3,846.38

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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.