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Finding the Fourth Proportional to 3,568.41, 5,353.44 and 1,377.27

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Solution

The fourth proportional to 3,568.41, 5,353.44 and 1,377.27 is: 2,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.41 : 5,353.44 = 1,377.27 : x
  2. Step 2: Convert to fraction form
    3,568.41/5,353.44 = 1,377.27/x
  3. Step 3: Cross multiply
    3,568.41x = 5,353.44 × 1,377.27
  4. Step 4: Simplify right side
    3,568.41x = 7,373,132.31
  5. Step 5: Solve for x
    x = 7,373,132.31/3,568.41
  6. Step 6: Final answer
    x = 2,066.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.