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Finding the Fourth Proportional to 3,654.44, 5,481.66 and 1,189.34

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Solution

The fourth proportional to 3,654.44, 5,481.66 and 1,189.34 is: 1,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.44 : 5,481.66 = 1,189.34 : x
  2. Step 2: Convert to fraction form
    3,654.44/5,481.66 = 1,189.34/x
  3. Step 3: Cross multiply
    3,654.44x = 5,481.66 × 1,189.34
  4. Step 4: Simplify right side
    3,654.44x = 6,519,557.50
  5. Step 5: Solve for x
    x = 6,519,557.50/3,654.44
  6. Step 6: Final answer
    x = 1,784.01

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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.