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Finding the Fourth Proportional to 3,568.92, 5,354.20 and 1,377.60

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Solution

The fourth proportional to 3,568.92, 5,354.20 and 1,377.60 is: 2,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.92 : 5,354.20 = 1,377.60 : x
  2. Step 2: Convert to fraction form
    3,568.92/5,354.20 = 1,377.60/x
  3. Step 3: Cross multiply
    3,568.92x = 5,354.20 × 1,377.60
  4. Step 4: Simplify right side
    3,568.92x = 7,375,945.92
  5. Step 5: Solve for x
    x = 7,375,945.92/3,568.92
  6. Step 6: Final answer
    x = 2,066.72

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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.