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Finding the Fourth Proportional to 3,751.91, 5,628.32 and 1,287.17

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Solution

The fourth proportional to 3,751.91, 5,628.32 and 1,287.17 is: 1,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.91 : 5,628.32 = 1,287.17 : x
  2. Step 2: Convert to fraction form
    3,751.91/5,628.32 = 1,287.17/x
  3. Step 3: Cross multiply
    3,751.91x = 5,628.32 × 1,287.17
  4. Step 4: Simplify right side
    3,751.91x = 7,244,604.65
  5. Step 5: Solve for x
    x = 7,244,604.65/3,751.91
  6. Step 6: Final answer
    x = 1,930.91

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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.