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Finding the Fourth Proportional to 3,792.56, 5,691 and 3,763.28

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Solution

The fourth proportional to 3,792.56, 5,691 and 3,763.28 is: 5,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.56 : 5,691 = 3,763.28 : x
  2. Step 2: Convert to fraction form
    3,792.56/5,691 = 3,763.28/x
  3. Step 3: Cross multiply
    3,792.56x = 5,691 × 3,763.28
  4. Step 4: Simplify right side
    3,792.56x = 21,416,826.48
  5. Step 5: Solve for x
    x = 21,416,826.48/3,792.56
  6. Step 6: Final answer
    x = 5,647.06

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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.