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Finding the Fourth Proportional to 3,659.57, 5,489.00 and 1,026.84

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Solution

The fourth proportional to 3,659.57, 5,489.00 and 1,026.84 is: 1,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.57 : 5,489.00 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    3,659.57/5,489.00 = 1,026.84/x
  3. Step 3: Cross multiply
    3,659.57x = 5,489.00 × 1,026.84
  4. Step 4: Simplify right side
    3,659.57x = 5,636,292.18
  5. Step 5: Solve for x
    x = 5,636,292.18/3,659.57
  6. Step 6: Final answer
    x = 1,540.15

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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.