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Finding the Fourth Proportional to 3,086.54, 4,258.38 and 1,759.30

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Solution

The fourth proportional to 3,086.54, 4,258.38 and 1,759.30 is: 2,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.54 : 4,258.38 = 1,759.30 : x
  2. Step 2: Convert to fraction form
    3,086.54/4,258.38 = 1,759.30/x
  3. Step 3: Cross multiply
    3,086.54x = 4,258.38 × 1,759.30
  4. Step 4: Simplify right side
    3,086.54x = 7,491,767.93
  5. Step 5: Solve for x
    x = 7,491,767.93/3,086.54
  6. Step 6: Final answer
    x = 2,427.24

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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.