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Finding the Fourth Proportional to 3,972.53, 5,959.07 and 1,632.65

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Solution

The fourth proportional to 3,972.53, 5,959.07 and 1,632.65 is: 2,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.53 : 5,959.07 = 1,632.65 : x
  2. Step 2: Convert to fraction form
    3,972.53/5,959.07 = 1,632.65/x
  3. Step 3: Cross multiply
    3,972.53x = 5,959.07 × 1,632.65
  4. Step 4: Simplify right side
    3,972.53x = 9,729,037.68
  5. Step 5: Solve for x
    x = 9,729,037.68/3,972.53
  6. Step 6: Final answer
    x = 2,449.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.