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Finding the Fourth Proportional to 3,659.68, 5,489.75 and 1,468.13

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Solution

The fourth proportional to 3,659.68, 5,489.75 and 1,468.13 is: 2,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.68 : 5,489.75 = 1,468.13 : x
  2. Step 2: Convert to fraction form
    3,659.68/5,489.75 = 1,468.13/x
  3. Step 3: Cross multiply
    3,659.68x = 5,489.75 × 1,468.13
  4. Step 4: Simplify right side
    3,659.68x = 8,059,631.88
  5. Step 5: Solve for x
    x = 8,059,631.88/3,659.68
  6. Step 6: Final answer
    x = 2,202.28

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1.5x scale

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.