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Finding the Fourth Proportional to 4,104.97, 5,654.97 and 3,265.40

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Solution

The fourth proportional to 4,104.97, 5,654.97 and 3,265.40 is: 4,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.97 : 5,654.97 = 3,265.40 : x
  2. Step 2: Convert to fraction form
    4,104.97/5,654.97 = 3,265.40/x
  3. Step 3: Cross multiply
    4,104.97x = 5,654.97 × 3,265.40
  4. Step 4: Simplify right side
    4,104.97x = 18,465,739.04
  5. Step 5: Solve for x
    x = 18,465,739.04/4,104.97
  6. Step 6: Final answer
    x = 4,498.39

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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.