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Finding the Fourth Proportional to 3,309.97, 4,567.42 and 1,983.64

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Solution

The fourth proportional to 3,309.97, 4,567.42 and 1,983.64 is: 2,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.97 : 4,567.42 = 1,983.64 : x
  2. Step 2: Convert to fraction form
    3,309.97/4,567.42 = 1,983.64/x
  3. Step 3: Cross multiply
    3,309.97x = 4,567.42 × 1,983.64
  4. Step 4: Simplify right side
    3,309.97x = 9,060,107.09
  5. Step 5: Solve for x
    x = 9,060,107.09/3,309.97
  6. Step 6: Final answer
    x = 2,737.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.