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Finding the Fourth Proportional to 3,770.91, 5,651.19 and 2,845.71

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Solution

The fourth proportional to 3,770.91, 5,651.19 and 2,845.71 is: 4,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.91 : 5,651.19 = 2,845.71 : x
  2. Step 2: Convert to fraction form
    3,770.91/5,651.19 = 2,845.71/x
  3. Step 3: Cross multiply
    3,770.91x = 5,651.19 × 2,845.71
  4. Step 4: Simplify right side
    3,770.91x = 16,081,647.89
  5. Step 5: Solve for x
    x = 16,081,647.89/3,770.91
  6. Step 6: Final answer
    x = 4,264.66

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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.