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Finding the Fourth Proportional to 3,980.43, 5,493.11 and 2,301.68

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Solution

The fourth proportional to 3,980.43, 5,493.11 and 2,301.68 is: 3,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.43 : 5,493.11 = 2,301.68 : x
  2. Step 2: Convert to fraction form
    3,980.43/5,493.11 = 2,301.68/x
  3. Step 3: Cross multiply
    3,980.43x = 5,493.11 × 2,301.68
  4. Step 4: Simplify right side
    3,980.43x = 12,643,342.45
  5. Step 5: Solve for x
    x = 12,643,342.45/3,980.43
  6. Step 6: Final answer
    x = 3,176.38

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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.