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Finding the Fourth Proportional to 3,304.26, 4,562.12 and 3,023.39

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Solution

The fourth proportional to 3,304.26, 4,562.12 and 3,023.39 is: 4,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.26 : 4,562.12 = 3,023.39 : x
  2. Step 2: Convert to fraction form
    3,304.26/4,562.12 = 3,023.39/x
  3. Step 3: Cross multiply
    3,304.26x = 4,562.12 × 3,023.39
  4. Step 4: Simplify right side
    3,304.26x = 13,793,086.95
  5. Step 5: Solve for x
    x = 13,793,086.95/3,304.26
  6. Step 6: Final answer
    x = 4,174.33

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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.