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Finding the Fourth Proportional to 3,757.45, 5,184.97 and 2,078.86

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Solution

The fourth proportional to 3,757.45, 5,184.97 and 2,078.86 is: 2,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.45 : 5,184.97 = 2,078.86 : x
  2. Step 2: Convert to fraction form
    3,757.45/5,184.97 = 2,078.86/x
  3. Step 3: Cross multiply
    3,757.45x = 5,184.97 × 2,078.86
  4. Step 4: Simplify right side
    3,757.45x = 10,778,826.73
  5. Step 5: Solve for x
    x = 10,778,826.73/3,757.45
  6. Step 6: Final answer
    x = 2,868.65

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