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Finding the Fourth Proportional to 3,371.49, 5,057.60 and 906.57

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Solution

The fourth proportional to 3,371.49, 5,057.60 and 906.57 is: 1,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.49 : 5,057.60 = 906.57 : x
  2. Step 2: Convert to fraction form
    3,371.49/5,057.60 = 906.57/x
  3. Step 3: Cross multiply
    3,371.49x = 5,057.60 × 906.57
  4. Step 4: Simplify right side
    3,371.49x = 4,585,063.90
  5. Step 5: Solve for x
    x = 4,585,063.90/3,371.49
  6. Step 6: Final answer
    x = 1,359.95

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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.