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Finding the Fourth Proportional to 3,980.56, 5,493.14 and 2,302

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Solution

The fourth proportional to 3,980.56, 5,493.14 and 2,302 is: 3,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.56 : 5,493.14 = 2,302 : x
  2. Step 2: Convert to fraction form
    3,980.56/5,493.14 = 2,302/x
  3. Step 3: Cross multiply
    3,980.56x = 5,493.14 × 2,302
  4. Step 4: Simplify right side
    3,980.56x = 12,645,208.28
  5. Step 5: Solve for x
    x = 12,645,208.28/3,980.56
  6. Step 6: Final answer
    x = 3,176.74

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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.