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Finding the Fourth Proportional to 3,962.89, 5,944.05 and 1,654.39

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Solution

The fourth proportional to 3,962.89, 5,944.05 and 1,654.39 is: 2,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.89 : 5,944.05 = 1,654.39 : x
  2. Step 2: Convert to fraction form
    3,962.89/5,944.05 = 1,654.39/x
  3. Step 3: Cross multiply
    3,962.89x = 5,944.05 × 1,654.39
  4. Step 4: Simplify right side
    3,962.89x = 9,833,776.88
  5. Step 5: Solve for x
    x = 9,833,776.88/3,962.89
  6. Step 6: Final answer
    x = 2,481.47

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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.