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Finding the Fourth Proportional to 3,885.44, 5,826.33 and 1,252.44

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Solution

The fourth proportional to 3,885.44, 5,826.33 and 1,252.44 is: 1,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.44 : 5,826.33 = 1,252.44 : x
  2. Step 2: Convert to fraction form
    3,885.44/5,826.33 = 1,252.44/x
  3. Step 3: Cross multiply
    3,885.44x = 5,826.33 × 1,252.44
  4. Step 4: Simplify right side
    3,885.44x = 7,297,128.75
  5. Step 5: Solve for x
    x = 7,297,128.75/3,885.44
  6. Step 6: Final answer
    x = 1,878.07

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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.