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Finding the Fourth Proportional to 3,122.58, 4,704.69 and 2,826.44

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Solution

The fourth proportional to 3,122.58, 4,704.69 and 2,826.44 is: 4,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.58 : 4,704.69 = 2,826.44 : x
  2. Step 2: Convert to fraction form
    3,122.58/4,704.69 = 2,826.44/x
  3. Step 3: Cross multiply
    3,122.58x = 4,704.69 × 2,826.44
  4. Step 4: Simplify right side
    3,122.58x = 13,297,524.00
  5. Step 5: Solve for x
    x = 13,297,524.00/3,122.58
  6. Step 6: Final answer
    x = 4,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.