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Finding the Fourth Proportional to 3,659.32, 5,049.85 and 1,980.71

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Solution

The fourth proportional to 3,659.32, 5,049.85 and 1,980.71 is: 2,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.32 : 5,049.85 = 1,980.71 : x
  2. Step 2: Convert to fraction form
    3,659.32/5,049.85 = 1,980.71/x
  3. Step 3: Cross multiply
    3,659.32x = 5,049.85 × 1,980.71
  4. Step 4: Simplify right side
    3,659.32x = 10,002,292.26
  5. Step 5: Solve for x
    x = 10,002,292.26/3,659.32
  6. Step 6: Final answer
    x = 2,733.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.