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Finding the Fourth Proportional to 3,659.44, 5,489.32 and 1,062.64

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Solution

The fourth proportional to 3,659.44, 5,489.32 and 1,062.64 is: 1,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.44 : 5,489.32 = 1,062.64 : x
  2. Step 2: Convert to fraction form
    3,659.44/5,489.32 = 1,062.64/x
  3. Step 3: Cross multiply
    3,659.44x = 5,489.32 × 1,062.64
  4. Step 4: Simplify right side
    3,659.44x = 5,833,171.00
  5. Step 5: Solve for x
    x = 5,833,171.00/3,659.44
  6. Step 6: Final answer
    x = 1,594.01

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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.