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Finding the Fourth Proportional to 3,969.77, 5,953.28 and 1,629.11

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Solution

The fourth proportional to 3,969.77, 5,953.28 and 1,629.11 is: 2,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.77 : 5,953.28 = 1,629.11 : x
  2. Step 2: Convert to fraction form
    3,969.77/5,953.28 = 1,629.11/x
  3. Step 3: Cross multiply
    3,969.77x = 5,953.28 × 1,629.11
  4. Step 4: Simplify right side
    3,969.77x = 9,698,510.07
  5. Step 5: Solve for x
    x = 9,698,510.07/3,969.77
  6. Step 6: Final answer
    x = 2,443.09

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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.