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Finding the Fourth Proportional to 3,568.32, 4,922.64 and 2,171.88

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Solution

The fourth proportional to 3,568.32, 4,922.64 and 2,171.88 is: 2,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.32 : 4,922.64 = 2,171.88 : x
  2. Step 2: Convert to fraction form
    3,568.32/4,922.64 = 2,171.88/x
  3. Step 3: Cross multiply
    3,568.32x = 4,922.64 × 2,171.88
  4. Step 4: Simplify right side
    3,568.32x = 10,691,383.36
  5. Step 5: Solve for x
    x = 10,691,383.36/3,568.32
  6. Step 6: Final answer
    x = 2,996.20

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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.