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Finding the Fourth Proportional to 3,628.49, 5,007.73 and 2,035.57

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Solution

The fourth proportional to 3,628.49, 5,007.73 and 2,035.57 is: 2,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.49 : 5,007.73 = 2,035.57 : x
  2. Step 2: Convert to fraction form
    3,628.49/5,007.73 = 2,035.57/x
  3. Step 3: Cross multiply
    3,628.49x = 5,007.73 × 2,035.57
  4. Step 4: Simplify right side
    3,628.49x = 10,193,584.96
  5. Step 5: Solve for x
    x = 10,193,584.96/3,628.49
  6. Step 6: Final answer
    x = 2,809.32

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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.