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Finding the Fourth Proportional to 3,659.76, 5,489.62 and 1,468.46

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Solution

The fourth proportional to 3,659.76, 5,489.62 and 1,468.46 is: 2,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.76 : 5,489.62 = 1,468.46 : x
  2. Step 2: Convert to fraction form
    3,659.76/5,489.62 = 1,468.46/x
  3. Step 3: Cross multiply
    3,659.76x = 5,489.62 × 1,468.46
  4. Step 4: Simplify right side
    3,659.76x = 8,061,287.39
  5. Step 5: Solve for x
    x = 8,061,287.39/3,659.76
  6. Step 6: Final answer
    x = 2,202.68

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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.