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Finding the Fourth Proportional to 3,086.76, 4,258.29 and 1,891.38

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Solution

The fourth proportional to 3,086.76, 4,258.29 and 1,891.38 is: 2,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.76 : 4,258.29 = 1,891.38 : x
  2. Step 2: Convert to fraction form
    3,086.76/4,258.29 = 1,891.38/x
  3. Step 3: Cross multiply
    3,086.76x = 4,258.29 × 1,891.38
  4. Step 4: Simplify right side
    3,086.76x = 8,054,044.54
  5. Step 5: Solve for x
    x = 8,054,044.54/3,086.76
  6. Step 6: Final answer
    x = 2,609.22

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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.