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Finding the Fourth Proportional to 3,793.72, 5,695.44 and 2,566.57

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Solution

The fourth proportional to 3,793.72, 5,695.44 and 2,566.57 is: 3,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.72 : 5,695.44 = 2,566.57 : x
  2. Step 2: Convert to fraction form
    3,793.72/5,695.44 = 2,566.57/x
  3. Step 3: Cross multiply
    3,793.72x = 5,695.44 × 2,566.57
  4. Step 4: Simplify right side
    3,793.72x = 14,617,745.44
  5. Step 5: Solve for x
    x = 14,617,745.44/3,793.72
  6. Step 6: Final answer
    x = 3,853.14

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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.