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Finding the Fourth Proportional to 4,057.79, 6,086.48 and 1,286.37

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Solution

The fourth proportional to 4,057.79, 6,086.48 and 1,286.37 is: 1,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.79 : 6,086.48 = 1,286.37 : x
  2. Step 2: Convert to fraction form
    4,057.79/6,086.48 = 1,286.37/x
  3. Step 3: Cross multiply
    4,057.79x = 6,086.48 × 1,286.37
  4. Step 4: Simplify right side
    4,057.79x = 7,829,458.85
  5. Step 5: Solve for x
    x = 7,829,458.85/4,057.79
  6. Step 6: Final answer
    x = 1,929.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.