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Finding the Fourth Proportional to 5,697.76, 7,863.12 and 3,179.88

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Solution

The fourth proportional to 5,697.76, 7,863.12 and 3,179.88 is: 4,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.76 : 7,863.12 = 3,179.88 : x
  2. Step 2: Convert to fraction form
    5,697.76/7,863.12 = 3,179.88/x
  3. Step 3: Cross multiply
    5,697.76x = 7,863.12 × 3,179.88
  4. Step 4: Simplify right side
    5,697.76x = 25,003,778.03
  5. Step 5: Solve for x
    x = 25,003,778.03/5,697.76
  6. Step 6: Final answer
    x = 4,388.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.