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Finding the Fourth Proportional to 3,691.68, 5,089.08 and 3,027.48

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Solution

The fourth proportional to 3,691.68, 5,089.08 and 3,027.48 is: 4,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.68 : 5,089.08 = 3,027.48 : x
  2. Step 2: Convert to fraction form
    3,691.68/5,089.08 = 3,027.48/x
  3. Step 3: Cross multiply
    3,691.68x = 5,089.08 × 3,027.48
  4. Step 4: Simplify right side
    3,691.68x = 15,407,087.92
  5. Step 5: Solve for x
    x = 15,407,087.92/3,691.68
  6. Step 6: Final answer
    x = 4,173.46

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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.