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Finding the Fourth Proportional to 3,792.38, 5,234.02 and 3,626.33

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Solution

The fourth proportional to 3,792.38, 5,234.02 and 3,626.33 is: 5,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.38 : 5,234.02 = 3,626.33 : x
  2. Step 2: Convert to fraction form
    3,792.38/5,234.02 = 3,626.33/x
  3. Step 3: Cross multiply
    3,792.38x = 5,234.02 × 3,626.33
  4. Step 4: Simplify right side
    3,792.38x = 18,980,248.51
  5. Step 5: Solve for x
    x = 18,980,248.51/3,792.38
  6. Step 6: Final answer
    x = 5,004.84

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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.