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Finding the Fourth Proportional to 3,258.86, 4,887.81 and 1,067.67

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Solution

The fourth proportional to 3,258.86, 4,887.81 and 1,067.67 is: 1,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.86 : 4,887.81 = 1,067.67 : x
  2. Step 2: Convert to fraction form
    3,258.86/4,887.81 = 1,067.67/x
  3. Step 3: Cross multiply
    3,258.86x = 4,887.81 × 1,067.67
  4. Step 4: Simplify right side
    3,258.86x = 5,218,568.10
  5. Step 5: Solve for x
    x = 5,218,568.10/3,258.86
  6. Step 6: Final answer
    x = 1,601.35

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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.