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Finding the Fourth Proportional to 3,867.05, 5,797.97 and 1,785.90

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Solution

The fourth proportional to 3,867.05, 5,797.97 and 1,785.90 is: 2,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.05 : 5,797.97 = 1,785.90 : x
  2. Step 2: Convert to fraction form
    3,867.05/5,797.97 = 1,785.90/x
  3. Step 3: Cross multiply
    3,867.05x = 5,797.97 × 1,785.90
  4. Step 4: Simplify right side
    3,867.05x = 10,354,614.13
  5. Step 5: Solve for x
    x = 10,354,614.13/3,867.05
  6. Step 6: Final answer
    x = 2,677.65

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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.