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Finding the Fourth Proportional to 3,967.73, 5,952.28 and 1,629.01

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Solution

The fourth proportional to 3,967.73, 5,952.28 and 1,629.01 is: 2,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.73 : 5,952.28 = 1,629.01 : x
  2. Step 2: Convert to fraction form
    3,967.73/5,952.28 = 1,629.01/x
  3. Step 3: Cross multiply
    3,967.73x = 5,952.28 × 1,629.01
  4. Step 4: Simplify right side
    3,967.73x = 9,696,285.74
  5. Step 5: Solve for x
    x = 9,696,285.74/3,967.73
  6. Step 6: Final answer
    x = 2,443.79

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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.