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Finding the Fourth Proportional to 4,559.82, 6,834.71 and 1,785.97

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Solution

The fourth proportional to 4,559.82, 6,834.71 and 1,785.97 is: 2,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.82 : 6,834.71 = 1,785.97 : x
  2. Step 2: Convert to fraction form
    4,559.82/6,834.71 = 1,785.97/x
  3. Step 3: Cross multiply
    4,559.82x = 6,834.71 × 1,785.97
  4. Step 4: Simplify right side
    4,559.82x = 12,206,600.03
  5. Step 5: Solve for x
    x = 12,206,600.03/4,559.82
  6. Step 6: Final answer
    x = 2,676.99

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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.