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Finding the Fourth Proportional to 3,654.72, 5,494.23 and 2,833.38

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Solution

The fourth proportional to 3,654.72, 5,494.23 and 2,833.38 is: 4,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.72 : 5,494.23 = 2,833.38 : x
  2. Step 2: Convert to fraction form
    3,654.72/5,494.23 = 2,833.38/x
  3. Step 3: Cross multiply
    3,654.72x = 5,494.23 × 2,833.38
  4. Step 4: Simplify right side
    3,654.72x = 15,567,241.40
  5. Step 5: Solve for x
    x = 15,567,241.40/3,654.72
  6. Step 6: Final answer
    x = 4,259.49

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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.