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Finding the Fourth Proportional to 3,371.92, 5,057.55 and 906.64

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Solution

The fourth proportional to 3,371.92, 5,057.55 and 906.64 is: 1,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.92 : 5,057.55 = 906.64 : x
  2. Step 2: Convert to fraction form
    3,371.92/5,057.55 = 906.64/x
  3. Step 3: Cross multiply
    3,371.92x = 5,057.55 × 906.64
  4. Step 4: Simplify right side
    3,371.92x = 4,585,377.13
  5. Step 5: Solve for x
    x = 4,585,377.13/3,371.92
  6. Step 6: Final answer
    x = 1,359.87

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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.