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Finding the Fourth Proportional to 3,757.52, 5,184.96 and 2,078.70

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Solution

The fourth proportional to 3,757.52, 5,184.96 and 2,078.70 is: 2,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.52 : 5,184.96 = 2,078.70 : x
  2. Step 2: Convert to fraction form
    3,757.52/5,184.96 = 2,078.70/x
  3. Step 3: Cross multiply
    3,757.52x = 5,184.96 × 2,078.70
  4. Step 4: Simplify right side
    3,757.52x = 10,777,976.35
  5. Step 5: Solve for x
    x = 10,777,976.35/3,757.52
  6. Step 6: Final answer
    x = 2,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.