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Finding the Fourth Proportional to 3,788.52, 5,679.94 and 2,552.44

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Solution

The fourth proportional to 3,788.52, 5,679.94 and 2,552.44 is: 3,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.52 : 5,679.94 = 2,552.44 : x
  2. Step 2: Convert to fraction form
    3,788.52/5,679.94 = 2,552.44/x
  3. Step 3: Cross multiply
    3,788.52x = 5,679.94 × 2,552.44
  4. Step 4: Simplify right side
    3,788.52x = 14,497,706.05
  5. Step 5: Solve for x
    x = 14,497,706.05/3,788.52
  6. Step 6: Final answer
    x = 3,826.75

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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.