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Finding the Fourth Proportional to 3,792.28, 5,233.77 and 2,113.84

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Solution

The fourth proportional to 3,792.28, 5,233.77 and 2,113.84 is: 2,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.28 : 5,233.77 = 2,113.84 : x
  2. Step 2: Convert to fraction form
    3,792.28/5,233.77 = 2,113.84/x
  3. Step 3: Cross multiply
    3,792.28x = 5,233.77 × 2,113.84
  4. Step 4: Simplify right side
    3,792.28x = 11,063,352.38
  5. Step 5: Solve for x
    x = 11,063,352.38/3,792.28
  6. Step 6: Final answer
    x = 2,917.34

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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.