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Finding the Fourth Proportional to 3,980.38, 5,496.24 and 3,320.69

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Solution

The fourth proportional to 3,980.38, 5,496.24 and 3,320.69 is: 4,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.38 : 5,496.24 = 3,320.69 : x
  2. Step 2: Convert to fraction form
    3,980.38/5,496.24 = 3,320.69/x
  3. Step 3: Cross multiply
    3,980.38x = 5,496.24 × 3,320.69
  4. Step 4: Simplify right side
    3,980.38x = 18,251,309.21
  5. Step 5: Solve for x
    x = 18,251,309.21/3,980.38
  6. Step 6: Final answer
    x = 4,585.32

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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.