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Finding the Fourth Proportional to 3,403.31, 5,104.50 and 1,323.13

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Solution

The fourth proportional to 3,403.31, 5,104.50 and 1,323.13 is: 1,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.31 : 5,104.50 = 1,323.13 : x
  2. Step 2: Convert to fraction form
    3,403.31/5,104.50 = 1,323.13/x
  3. Step 3: Cross multiply
    3,403.31x = 5,104.50 × 1,323.13
  4. Step 4: Simplify right side
    3,403.31x = 6,753,917.09
  5. Step 5: Solve for x
    x = 6,753,917.09/3,403.31
  6. Step 6: Final answer
    x = 1,984.51

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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.