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Finding the Fourth Proportional to 3,659.50, 5,489.25 and 1,062.51

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Solution

The fourth proportional to 3,659.50, 5,489.25 and 1,062.51 is: 1,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.50 : 5,489.25 = 1,062.51 : x
  2. Step 2: Convert to fraction form
    3,659.50/5,489.25 = 1,062.51/x
  3. Step 3: Cross multiply
    3,659.50x = 5,489.25 × 1,062.51
  4. Step 4: Simplify right side
    3,659.50x = 5,832,383.02
  5. Step 5: Solve for x
    x = 5,832,383.02/3,659.50
  6. Step 6: Final answer
    x = 1,593.77

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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.