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Finding the Fourth Proportional to 3,568.14, 4,923.90 and 1,996.25

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Solution

The fourth proportional to 3,568.14, 4,923.90 and 1,996.25 is: 2,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.14 : 4,923.90 = 1,996.25 : x
  2. Step 2: Convert to fraction form
    3,568.14/4,923.90 = 1,996.25/x
  3. Step 3: Cross multiply
    3,568.14x = 4,923.90 × 1,996.25
  4. Step 4: Simplify right side
    3,568.14x = 9,829,310.76
  5. Step 5: Solve for x
    x = 9,829,310.76/3,568.14
  6. Step 6: Final answer
    x = 2,754.74

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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.